ConvertOnlineX 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.