# World’s Best Percent Calculators: Percentage Increase & More

## World’s Easiest Percentage Calculators

Hello! We’re glad that you’re here! Our simple percentage calculators will enable you to solve any percentage problem within the next 12 seconds. You can either use our percentage calculators directly, or simply browse through our provided percentage formulas, methods of calculation, and examples below.

### Calculate percent yourself: What do you want to know?

Or check out our percentage off calculator here.

## Why do you need percent at all?

“I’ll never need to know how to do this math again anyway!” – Unfortunately, this statement is not entirely true. After school, percentages are often found in price calculations connected with dollar amounts and interest accumulation. For example, percent calculations appear in regard to price increases, discounts, VAT with net and gross values, or with profit calculations.

## Percent Formula

Understanding how to calculate percentages roots itself in the word. The term’s origin can be traced back to a Latin phrase that meant “by the hundred”, which is why today it is sent up as a ratio whose denominator is 100. If we want to calculate values that are out of this range, we can take our ratio and turn it into a proportion, with the W value being our unknown or what we want to figure out.

For instance, 25% is represented as 25/100 in fraction form. If we want to know what 25% of 200 is, we can set up the following proportion:

\frac{25}{100}=\frac{W}{200}

We can then use cross multiplication to set up a proper percent formula:

\text{100}\times\text{W}=\text{G}\times\text{P}

Such that W = Percent value, G = basic value and P = Percentage rate.

## Determine Percentage Values: What is 25% of 200?

Okay, let’s take this problem step-by-step. 50% of 100 is equivalent to half of 100, so 50. But how do we calculate 25% of 200? To calculate that, you can use our percentage calculator, or you can read through the section below containing formulas and explanations to gain a better grasp on these concepts and avoid technical help in the future.

\text{Percentage Value (W)}=\text{Base Value (G)}\times\frac{\text{Percentage (P)}}{\text{100}\%}
Open to Understand the Formula:
Let’s enter a thought bubble and attempt to mentally process this with ideas and concepts we may already be familiar with. If we think about the meaning of the word percent, which we touched on earlier, we can use the fact that they are parts of a whole to help us understand what the calculators might be doing. For instance, 25% is 25 (the “part”) out of 100 (the “whole” in this case). We can also take advantage of the fact that we know 200 is 2 times 100. So, if 25% of 100 is 25, then 25% of 200, in theory should be 2 time that value or 2 x 25, which is 50.

Now that we have this baseline idea of what might be going on when calculating percentages, we can tackle the formula. This formula tells us that the product of multiplying the percentage and the base value divided by 100, is the percentage value. If this is hard to conceptualize with words, think back to the following cross-multiplication example:

\frac{25}{100}=\frac{W}{200}

equals\text{100}\times\text{W}=\text{200}\times\text{25}

The formula is going one step further to tell us that W or the percentage value, which is the value we are looking for the result of dividing both sides of the equation above by 100, or simplified:

\text{Percentage Value (W)}=\text{Base Value (G)}\times\frac{\text{Percentage (P)}}{\text{100}\%}

We want to know how much 25% of 200 is. Hence, in this case, our base value is 200 (G) and the percentage is 25% (P).
Let’s recall the starting formula we previously provided: 100 x W = G x P and move terms around. Dividing by 100 on both sides isolates W so that it stands alone on one side of the equation, giving us:
W = G x P/ 100 or Percentage value (W) = Base value (G) × Percentage (P)/ 100%

Inserting the values we have gives us the following: Percentage value (W) = 200 × 25 %/100 %

We can convert the fraction on the rightmost side of this equation by dividing out the values (dividing the 25% by the 100%) to get: Percentage value (W) = 200 × 0.25.

Finally, we can directly do this math in its simplest form to get 200 times 0.25 which is 50. Meaning: Percentage value (W) = 50.

Therefore, 25% (denoted percentage or P) of 200 (our base value, G) is 50 (or the percentage value, W)!

## How to Find Percentage: What percentage of 200 is 50?

We know that 50 is half of 100 so, 50%. But how do you calculate what percentage 50 is out of 200? You can easily do this with the percentage finder calculator – or you can look at the formulas and explanations under the calculator for a more detailed understanding. How do you find the applicable percent rate?

\text{Percentage (P)}=\frac{\text{Percentage Value (W)}}{\text{Base Value (G)}}\times\text{100 }
Open to Understand the Formula:
The formula states that percentage is obtained by dividing the percentage value (dividend) by the base value (divisor) and then multiplying by 100%. In layman’s terms, we are looking for percentage (P) and our question at hand is: what percent is 50 out of 200?

Let’s take this one step at a time. The percentage value (W) is 50, the basic value (G) is 200, and our starting formula is as follows: 100 x W = G x P. Dividing both sides of this initial equation by G leaves P alone on one side of the equation, which is what we want, as it is the value we are looking for.

\frac{P}{100}=\frac{50}{200}

\text{100}\times\text{50}=\text{200}\times\text{P}

\frac{\text{100}\times\text{50}}{200}=\text{P}

Our new, rearranged formula is Percentage (P) = Percentage value (W )/ Base value (G) × 100. Inserting our known values into the new equation gives us: Percentage = 50/200 × 100 %. Calculating this directly turns our fraction into a decimal and results in the formula looking like: Percentage = 0.25 × 100 %.

Now, all we have to do is multiply the 0.25 by 100 and remember to write the % at the end. Leaving us with the Percentage value of 25. So, 50 (percentage) is 25% (percentage value) of 200 (base value).

## Find Whole Number from Percentage: 50 is 25% of how much?

50 is exactly 25% of “something”, and this something is called a basic value. You can calculate basic value with either our basic value calculator, or by learning how to calculate the basic value yourself with our formulas and explanations under the calculator. It’s very easy once you understand it!

\text{Base Value (G)}=\frac{\text{Percentage Value (W)}}{\text{Percentage (P)}}\times\text{100}
Open to Understand the Formula:
The basic value (G) denotes the whole to which the percentage relates to. In other words, the basic value is 100 percent. Expressed in a more complicated way, the basic value (G) is obtained by dividing the percentage value (W) by the percentage (P) and then multiplying by 100. Visualizing this, we get the following:

\frac{25}{100}=\frac{50}{G}

\text{100}\times\text{50}=\text{G}\times\text{25}

\frac{\text{100}\times\text{50}}{25}=\text{G}

However, you can also make it very easy for yourself by breaking down the problem. For the question “50 is 25% of what value?”, we know that the basic value (G), is the value we are looking for. The percentage value (W) is 50, the percentage (P) is 25%, and we can recall that our starting formula is 100 x W = G x P. Since we are looking for G, we can divide by P, so G is isolated on one side of the equation, resulting in the following rearranged formula: Base value (G) = Percentage value (W)/ Percentage (P) × 100 %.

Putting our known values into this gives us: Base value (G) = 50/ 25 x 100. Converting the fraction into its integer equivalent results in our formula looking as follows: Base value (G) = 2 x 100. Now, that it is in its simplest form, directly doing the math leaves us with a base value of 200. So, we can now confidently say that 50 (the percentage value) is 25% (percentage) of 200 (base value)!

## From one value to another: 200 is what % greater/less than 50?

When comparing two values with each other, one is often interested in the percentage difference between the numbers. So, for example, if you want to determine whether there are 30% more men than women in a company, or whether this year, 28% less people went to the federal election than last year. Another real-world example could be shoe size comparisons. For instance, going from a women’s shoe size of US 7 to US 8, understanding that there is a 0.25 inch different between said shoe sizes, and wanting to know what percent this difference corresponds to.

A distinction is indirectly made within the question by wanting to know how much greater one value is compared to another, and by what percent. As well as the question of how much is the percent reduction from going from one value to another.
With our value-to-value percentage calculator, you can easily calculate these percent differences. Additionally, looking at the formulas underneath this calculator will help you learn how to do the math yourself.

Case Specific Formula: How much greater is 200 compared to 50 percent wise?

\text{Percentage Increase (P)}=\frac{\text{High Value (X)}}{\text{Low Value (Y)}}-\text{1 }

Case Specific Formula: How much smaller is 50 compared to 200 percent wise?

\text{Percentage Reduction (P)}=\frac{\text{Low Value (X)}}{\text{High Value (Y)}}-\text{1 }
Open to Understand the Formula:
The at hand question is: What is the percent reduction of going from [ 200 ] to [ 50 ]?
In other words, we are looking for the percentage difference. The formula for percent was mentioned above and can be seen as follows:
Percentage (P) = Percentage value (W)/ Base value (G) x 100
For the case: “How much greater is 200 compared to 50 percent wise?” We know that the basic value is 50 and the percentage value is 200. If we insert these values into the formula, we get:
Percentage (P) = 200/50 x 100
200 divided by 50 is 4, which gives us…
Percentage (P) = 4 x 100
And thus, results in:
Percentage (P)=400%

Be careful! Is this the answer we are looking for? No, we are not yet finished. The calculated percentage (i.e., the proportion of 200 to 50) is 400%. However, we want to calculate the increase or decrease in value. For this we still have to subtract the basic value (of 100%) from the 400% we obtained from our calculations. In other words, there is an increase of 400% – 100% = 300% going from 50 to 200.

Shown again as a formula:
Percentage (P) = 400% – 100%
Percentage (P) = 300%

The formula behaves analogously for reductions. For the case: “How much smaller is 50 compared to 200 percent wise?” The base value is 200 and the percentage value 50. Simply inserting these values into the formula, shown above, results in a solution of -75%. Here, there is a “minus” sign because we are looking at a reduction/ decrease in value. The calculation method would look as such:
Percentage (P) = 50/200 x 100
Percentage (P) = 25%
Thereafter,
Percentage (P) = 25% – 100%
Or Percentage (P) = -75%

## Addition/subtraction of percentages: How much is 50 plus/minus 25% of 50?

If a sweater costs $50.00 and I get a 25% discount, how much will it cost (discount included)? Let’s start off with what we know, 50% of 100 is 50 and adding or subtracting that to or from 100 is easy: Addition: Adding 50% of 100, to 100 gives us 150 Subtraction: Subtracting 50% of 100, to 100 gives us 50 Another simple example is… Adding or Subtracting 100% of 100, to 100: Addition: Adding 100% of 100 to 100 gives us 200, and Subtraction: Subtracting 100% of 100 to 100 gives us 0. But with values like that of which are in our initial problem statement (e.g., 25%) or even more complicated percentages, most people lose their arithmetic skills. If you are one of them, don’t worry, we’ll help you with the calculation. You can either use our percentage surcharge and discount calculators to calculate the decrease or increase in values, or you can learn how the calculation works by reading through our cohesive formulas and extensive explanations under the calculator. Case Specific Formula: How much is 50 plus 25% of 50? \text{Percentage Value (W)}=\text{Base Value}\times(\text{100\%}+\text{Percentage}) Case Specific Formula: How much is 50 minus 25% of 50? \text{Percentage Value (W)}=\text{Base Value}\times(\text{100\%}-\text{Percentage}) Open to Understand the Formula: Our question at hand is: If a sweater costs$50.00, and I get a 25% discount, how much will it cost (discount included)?
Simplifying the text of the problem, we are really looking at how much is 50 plus / minus 25% of 50 is?
Plus / surcharge: How much is 100% + 25% (of 50) = 125% (percentage) of 50 (base value)?
Subtract / reduce: How much is 100% – 25% (of 50) = 75% (percentage) of 50 (base value)?

That means we are looking for the percentage! Again, we can use the standard formula to find the Percentage value (W) = Base value (G) × Percentage (P)/ 100%.

For the case: “How much is 50 plus 25% of 50?”
The base value is 50 and the percentage is 125% (as calculated in the previous lines of text above). If we put these values in the formula, we get:
Percentage value (W) = 50 × 125 %/ 100%
Note: 125 divided by 100 is 1.25.

We can now use this and say,
Percentage value (W)=50 × 1.25, which leaves us with
Percentage value (W) = 62.5
50 (the base value) plus 25% (percentage) is therefore 62.5 (percentage value).

The formula is the same for reductions:
For the case of “How much is 50 minus 25% (of 50)?”
The base value is 50 and the percentage is 75%.
Again, these values have to be inserted into the formula previously depicted. Percentage value (W) = 50 x 75%/ 100% or Percentage value (W) = 50 x 0.75.
The result is, thus, Percentage value (W) = 37.5.

To tie it all back to our example problem statement: The sweater, which would have originally been $50.00, now costs$37.50 with a 25% discount. A real bargain!

## Finding initial values: 200 is 25% more/less than what value?

Before tackling our main problem, let’s look at a simpler case. 200 is 100% more than what value? 200 is twice as much as 100, so 100% more. So, the answer is 100. If it is still a bit confusing, feel free to use our “find the base value” percentage calculator, or read through our formulas and explanations to understand the workings behind said calculations.

This would be the formula for the question 200 is 25% greater than what value:

\text{Base Value (G)}=\frac{\text{Percentage Value (W)}}{\text{100 }\%+\text{Percentage (P)}}

And this is the formula for the question: 200 is 25% less than what value:

\text{Base Value (G)}=\frac{\text{Percentage Value (W)}}{\text{100 }\%-\text{Percentage (P)}}
Open to Understand the Formula:
The question at hand: 200 is 25% greater/less than what value?

Looking at this problem statement percentage wise, the question is asking us how much 100% + 25% = 125% (percentage) or 100% – 25% = 75% (percentage) of 200 (percentage value) is.
Better put, we are looking for the basic value. We already know the formula for calculating the basic value is: Base value (G) = Percentage value (W)/ Percentage (P) x 100

For the case where we’re asked: “200 is 25% greater than what value?” The percentage value (W) is 200 and the percentage (P) is 125%. If we put these values in the formula, we get: Base value (G) = 200/125 x 100, and 200 divided by 125 is 1.6. Meaning now, our Base value (G) = 1.6 x 100, and thus, we get that the base value (G) = 160.

Hence, 200 (the percentage value) is 25% (percentage) greater than 160 (our sought-after base value).
For the question, “200 is 25% less than what value?”

The formula behaves analogously:
The percentage value is again 200, but this time, the percentage is 75%. If you enter these values into the formula shown above, the result is 266.67.