# X is P Percent of What Calculator

## How to use this X is P Percent of What Calculator 🤔

- Enter ✎ value for (X).
- Enter ✎ value for % (P).
- As soon as you enter the required input value(s), the X is P Percent of What is calculated immediately, and displaed in the output section (present under input section).

## Calculating the Base Value When X is P Percent of It

Determining the base value when you know that a given number (X) is a certain percentage (P) of it is a common calculation in various fields, such as finance, sales, and everyday decision-making. This calculation helps you find the original value before the percentage was applied.

The formula to calculate the base value (Y) when X is P percent of it is expressed as:

\( \text{Base Value} = \dfrac{X \times 100}{P} \)

where:

**X**represents the given value.**P**represents the percentage.

By multiplying X by 100 and then dividing by P, you obtain the base value Y.

## Examples

The following examples demonstrate how to calculate the base value when X is P percent of it using the given formula.

### 1. Sarah received a discount of $15, which was 20% off the original price of a dress. What was the original price of the dress?

#### Answer

Given:

**X**= $15 (Discount received)**P**= 20% (Percentage of discount)

The formula to calculate the base value is:

\( \text{Base Value} = \dfrac{X \times 100}{P} \)

Substituting the given values:

\( \text{Base Value} = \dfrac{15 \times 100}{20} \)

Calculating the result:

\( \text{Base Value} = \dfrac{1500}{20} = $75 \)

Therefore, the original price of the dress was $75.

### 2. A company pays a bonus of $500 to its employees, which is 5% of their annual salary. What is the annual salary of an employee who received this bonus?

#### Answer

Given:

**X**= $500 (Bonus)**P**= 5% (Percentage of the salary)

The formula to calculate the base value is:

\( \text{Base Value} = \dfrac{X \times 100}{P} \)

Substituting the given values:

\( \text{Base Value} = \dfrac{500 \times 100}{5} \)

Calculating the result:

\( \text{Base Value} = \dfrac{50000}{5} = $10,000 \)

Therefore, the annual salary of the employee is $10,000.

### 3. A car's fuel efficiency is 30 miles per gallon, and it used 12 gallons of fuel for a trip, which was 60% of the total distance the car can travel on a full tank. What is the total distance the car can travel on a full tank?

#### Answer

Given:

**X**= 12 gallons (Fuel used)**P**= 60% (Percentage of the total distance)

The formula to calculate the base value is:

\( \text{Base Value} = \dfrac{X \times 100}{P} \)

Substituting the given values:

\( \text{Base Value} = \dfrac{12 \times 100}{60} \)

Calculating the result:

\( \text{Base Value} = \dfrac{1200}{60} = 20 \text{ gallons} \)

Therefore, the total fuel capacity of the car is 20 gallons, and the total distance it can travel on a full tank is 600 miles.

### 4. A student answered 45 questions correctly, which was 75% of the total number of questions in a test. How many questions were there in the test?

#### Answer

Given:

**X**= 45 (Correct answers)**P**= 75% (Percentage of the total questions)

The formula to calculate the base value is:

\( \text{Base Value} = \dfrac{X \times 100}{P} \)

Substituting the given values:

\( \text{Base Value} = \dfrac{45 \times 100}{75} \)

Calculating the result:

\( \text{Base Value} = \dfrac{4500}{75} = 60 \text{ questions} \)

Therefore, there were 60 questions in the test.

## Formula

To calculate the x is p percent of what, you can use the following formula.

where

## Calculation

Once you enter the input values in the calculator, the output parameters are calculated.