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## Calculator Use

Find a percentage or work out the percentage offered numbers and percent values. Use percent formulas to figure out percentages and unknowns in equations. Add or subtract a percentage from a number or settle the equations.

You are watching: 6 is 60% of what number

## How to calculation Percentages

There are countless formulas for percentage problems. You can think the the most simple as X/Y = ns x 100. The formulas below are every mathematical variations of this formula.

Let"s explore the three an easy percentage problems. X and also Y space numbers and also P is the percentage:

uncover P percent the X find what percent that X is Y uncover X if ns percent of that is Y

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## 1. Exactly how to calculate portion of a number. Usage the percentage formula: P% * X = Y

Example: What is 10% of 150?

transform the problem to an equation using the portion formula: P% * X = Y ns is 10%, X is 150, therefore the equation is 10% * 150 = Y transform 10% come a decimal by removed the percent sign and dividing through 100: 10/100 = 0.10 instead of 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y do the math: 0.10 * 150 = 15 Y = 15 so 10% of 150 is 15 dual check your answer with the initial question: What is 10% of 150? main point 0.10 * 150 = 15

## 2. Exactly how to uncover what percent that X is Y. Usage the percentage formula: Y/X = P%

Example: What percent that 60 is 12?

transform the difficulty to one equation making use of the percentage formula: Y/X = P% X is 60, Y is 12, for this reason the equation is 12/60 = P% perform the math: 12/60 = 0.20 Important! The an outcome will always be in decimal form, not percentage form. You need to multiply the result by 100 to acquire the percentage. Convert 0.20 to a percent: 0.20 * 100 = 20% therefore 20% that 60 is 12. Twin check her answer with the initial question: What percent of 60 is 12? 12/60 = 0.20, and also multiplying by 100 to get percentage, 0.20 * 100 = 20%

## 3. How to uncover X if ns percent of it is Y. Usage the percentage formula Y/P% = X

Example: 25 is 20% the what number?

transform the trouble to an equation using the percent formula: Y/P% = X Y is 25, P% is 20, for this reason the equation is 25/20% = X transform the percentage to a decimal by splitting by 100. Convert 20% come a decimal: 20/100 = 0.20 substitute 0.20 because that 20% in the equation: 25/0.20 = X do the math: 25/0.20 = X X = 125 therefore 25 is 20% that 125 dual check your answer v the initial question: 25 is 20% of what number? 25/0.20 = 125

### Remember: how to transform a percent to a decimal

eliminate the percent sign and also divide by 100 15.6% = 15.6/100 = 0.156

### Remember: how to convert a decimal to a percentage

multiply by 100 and add a percent sign 0.876 = 0.876 * 100 = 87.6%

## Percentage Problems

There room nine variations on the three basic problems including percentages. View if girlfriend can match your trouble to one of the samples below. The problem formats enhance the input areas in the calculator above. Formulas and also examples are included.

### What is ns percent the X?

created as one equation: Y = P% * X The "what" is Y that we want to deal with for remember to very first convert percentage to decimal, dividing by 100 Solution: deal with for Y utilizing the percent formula Y = P% * X

### Example: What is 10% that 25?

Written making use of the percentage formula: Y = 10% * 25 first convert percentage to a decimal 10/100 = 0.1 Y = 0.1 * 25 = 2.5 therefore 10% that 25 is 2.5