# Percent Calculator: Empower Your Math Skills

Use this adaptable percent calculator to find the very easy percentage of X and Y or the difference.

## Percentage Calculator in Common Phrases

### What is Percentage

The term “percentage” is adapted from the Latin word “per centum,” which means “by the 100.” In mathematics, a % is a number io ratio that describes a fraction of 100 if we need to find the percent divided by the whole number and multiply by 100. So the percentage means a part per hundred and is denoted with the symbol “%.”

### The Main 3 Using percentages are the Following

#### **1-What is /p% of value?**

Find a percentage or workout the percent has given number and percent values. Rates are computed by multiplying the value of a ratio by 100. And you can solve the equation to primary method x/y=p*100. If you are interested in finding a vat rate for different items.

**Basic percent formula**

**P% * X = Y**

**OR**

**P * v1 = v2**

**An example is the following:**

Change the problem to a math equation by using the** percent formula**

**percent formula: P% * X = Y**

- P is 25%, and X is 400, so the equation is 25% * 400=Y.
- To convert 25% to decimal by removing the sign % and dividing by 100:25/100=0.25
- Substitute 0.25 for 25% in the
- equation: 25% * 400 = Y becomes 0.25 * 400 = Y
- Do the math: 0.25 * 400 = 100
- Y = 100
- Soo 25% of 400 is 100

**Check your satisfaction**

- with the original equation:
- What is 25% of 400?
- Multiply 0.25 * 400 = 100

**2- How to find out what percent of X is Y?**

To determine X is what percent of Y, divide X by Y, and multiply the result by 100 to get the percentages. We find out our percent value by simply applying the percent formula.

**What percent of 60 is 12?**

**Formula= Y/X = P%**

**OR**

**(V2 / V1) * 100**

**An example is the following:**

X is 60, and Y is 12, so the equation is 12/60 = P%.

Do the math: 12/60 = 0.20

### IMPORTANT

The results always are in decimal form, not percentage form. You can multiply the output by 100 to get the percentage. Changing the 0.2 in a percent: 0.20 * 100 = 20%

So 20% of 60 is 12.

**Check your satisfaction**

- You can verify the answer with an actual equation:
- of 60 is 12? 12/60 = 0.20, and multiply by 100 to get a
- percentage, 0.20 * 100 = 20%

**3- How to find X if the P percent of it is Y?**

In this situation, we have the value of X and P for the percent, and we find out the value of Y. As a result, the ratio of X. We find our percent increase and decrease by applying the simple percent formula.

**FORMULA=Y/P% = X**

**OR**

**V2 / P% = V1**

**Example: 400 is 25% percent of what number?**

Change the problem to a math equation by using the** percent formula**

**formula: Y/P% = X**

- Y is 400, and P is 25, so the equation is 400/25=X
- Convert the percent to a decimal by dividing 100.
- Converting 25% to a decimal: 25/100 = 0.25
- Substitute 0.25 for 25% in the equation: 400/0.25 = X

**Check your satisfaction**

- Double-check your answer with the original question:
- 400 is 25% of what number?
- Do the math: 400/0.25 = X
- X = 1600 400/0.25 = 1600

**Remember:** **How to convert percent to a decimal?**

- Change the percent sign %, and divide by 100
- 75.6% = 75.6/100 = 0.756%
- 0.995 = 0.995 * 100 = 99.5%

**Percentage Problems**

There’re some examples of three fundamental problems involving percentages. The problem format math the input field in the calculator above, formates, and models are added. As we see the equation in this table, with the procedure, and after its explanation:

QUESTIONS | FORMULA | EQUATIONS | SOLUTIONS |
---|---|---|---|

What is P% of X? | Y = P% * X | 17% of 75? | So 17% of 75 is 12.5 |

Y is what p% of X? | P% = Y ÷ X | 15 is what percent of 50? | So 15 is 50% of the 30 |

Y is P% of what? | X = Y ÷ P% | 9 is 60% of what? | So 9 is 60% of the 15 |

What percent of X is Y? | P% = Y ÷ X | What percent of 74 is 5? | So 6.75% of 74 is 5 |

P percent of what is Y? | X = Y ÷ P% | 40% of what is 7? | So 40% of 17.5 is 7. |

P percent of X is what? | Y = P% * X | 8% of 35 is what? | So 8% of 35 is 2.8 |

Y of what is P percent? | X = Y ÷ P% | 5 of what is 15%? | 5 of 33.3333 is 15% |

What if X is P percent? | Y = P% * X | What of 35 is 12%? | So 4.2 of 35 is 12% |

#### More Explain

**1- What is the P percent of X?**

If we write the equation as Y = p% * x

The “what” is that we must first solve the equation to remember to transform the percentage into a decimal, dividing by 100.

Solution: Solve for Y using the percentage

**formula: Y = P% * X **

**Example: what is 18% of 78?**

Written using the percentage formula: Y = 18% * 78

First, convert the percentage into decimal 18/100=0.18

Y=0.18 * 78=14.04

**So 18% of 78 is 14.04**

**2- 20 is what percent of 50?**

Written as a problem: Y = P%? X

The ‘what’ is P% that we adapt to solve for

Divide both sides by X to get P% on one side of the problem

Y ÷ X = (P% ? X) ÷ X becomes Y ÷ X = P%, which is the same as

P% = Y ÷ X

Solution: Solve for percentage using this formula

Formula= P% = Y ÷ X

Example: 20 is what percent of 50?

Written using the formula: P% = 20 ÷ 50

P% = 20 ÷ 50 = 0.4

Convert the decimal to percent

P% = 0.4 × 100 = 40%

**So 20 is 50% of the 40**

**3- Y is P percent of what?**

Written as a question: Y = P% * X

The ‘what’ is X that we reshape to solve for

Divide both sides by P% to get X on one side of the question

Y ÷ P% = (P% × X) ÷ P% becomes Y ÷ P% = X, which is the same

as X = Y ÷ P%

Solution: Solve for X amount using this formula

X = Y ÷ P%

Example: 9 is 60% of what?

Write using the formula: X = 9 ÷ 60%

Convert percent to decimal

60% ÷ 100 = 0.6

X = 9 ÷ 0.6

X = 15

**So 9 is 60% of the 15**

**4-What percent of X is Y?**

Write the equation as p% * X=Y

The ‘what’ is P% that we need to solve for

divides both sides by X to get P% on one side of the equation

p% * X / X = Y / X change in p% = Y / X

Solution: Solve for P% using the rate formula

P% = Y ÷ X

Example: What percent of 74 is 5?

Written using the formula: P% = 5 ÷ 74

5 ÷ 74 = 0.06756

Convert decimal to percent

P% = 0.06756× 100

P% = 6.75%

**So 6.75% of 74 is 5**

**CONCLUSION**

In mathematics, a % is a number or ratio that describes a fraction of 100 if we need to find percent divided by a whole number and multiply by 100. In our daily life routine, we face many such as the above equations to everyday transactions. You can easily find your related problem in these examples.