Find Number by Percentage Calculator

Welcome to the Find Number by Percentage Calculator. Here, you can calculate various numbers based on percentages, including

1. What is percent of Y
2. Percent of what is X
3. Percent of what is X, then percent of the number
4. What plus percent is Y
5. X plus percent is what
6. What minus percent is Y
7. X minus percent is what

Next, let’s take a look at the specific functions.

Let’s start with the most basic formula for percentages, X is what percent of Y? The formula is

P% = XY

Now, the problem has changed, what is percent of Y? This means we want to calculate X in the formula. Multiply both sides of the formula by Y, we can get the formula for what is percent of Y is

X = Y * P%

For example: what is 20% of 50?

Calculation steps:

• Substitute Y = 50 and P = 20 into the formula: X = 50 * 20%
• Convert percentage to decimal. 20% = 20/100 = 0.2
• Calculate the product of two numbers: X = 50 * 0.2 = 10
• So, the number is 10.

20% of 50 is 10.

Similar to the question above, now we want to calculate the value of Y. The formula for percent of what is X is

Y = XP%

Among them, X and P are given numbers.

For example: 60% of what is 90?

Calculation steps:

• Put X = 90 and P = 60 into the formula: Y = 9060%
• Convert percentage to decimal. 60% = 60100 = 0.6
• Divide 90 by 0.6. 900.6 = 150.
• Thus, the number is 150.

60% of 150 is 90.

This is a combination of two problems. The first is Percent of what is X. The second is What is percent of Y. Here Y is the number calculated in the first question. In other words, calculate the number first, then calculate the percentage of that number.

Combining the above two formulas, a new formula can be obtained.

Z = X * P₂%P₁%

For example: If 60% of a number is 150, what is 30% of the number?

Calculation steps:

• Substitute X = 150, P1 = 60 and P2 = 30 into the formula: Z = 150 * 30%60%
• Calculate the value of the numerator. 150 * 30% = 150 * 0.3 = 45.
• Divide the denominator by 100 to convert it to a decimal. 60% = 60 * 100 = 0.6
• Divide the numerator by the denominator. 450.6 = 75.
• So, the number is 75.

If 60% of a number is 150, then 30% of the number is 75.

Let the number and the percentage be X and P%. X is the number to be calculated and P is the given percentage.

Now, we can get an equation.

X + X * P% = Y

Simplify the equation

X + X * P% = Y

X (1 + P%) = Y

X = Y1 + P%

This is the formula for What plus percent is Y.

For example: What Plus 30% is 104?

Calculation steps:

• Put P = 30 and Y = 104 into the formula. X = 1041 + 30%.
• Convert percentage to decimal. 30% = 30100 = 0.3
• Substitute 0.3 into the equation in the first step. X = 1041 + 0.3.
• Calculation results. X = 1041 + 0.3 = 1041.3 = 80.
• So, the number is 80.

80 plus 30% is 104.

Contrary to What plus percent is Y. Here, we want to calculate the value of Y.

According to the above derivation process, we know that the formula for X plus percent is what is

Y = X (1 + P%)

For example: 60 Plus 20% is what?

Calculation steps:

• Substitute X = 60 and P = 30 into the formula. Y = 60 * (1 + 20%)
• Convert percentage to decimal. 20% = 20100 = 0.2
• Calculate the value of Y. Y = 60 * (1 + 0.2) = 60 * 1.2 = 72
• So, the number is 72.

60 plus 20 percent is 72.

The case of adding a percentage is discussed above, and the case of subtracting a percentage is discussed below.

What minus percent is Y?

Let the number and the percentage be X and P%.

X – X * P% = Y

X (1 – P%) = Y

X = Y1 – P%

The formula for what minus percent is Y is

X = Y1 – P%

For example: what minus 45% is 110?

Calculation steps:

• Substitute P = 45 and Y = 110 into the formula. X = 1101 – 45%
• Calculate the value of the numerator. 1 – 45% = 1 – 0.45 = 0.55.
• 110 divided by 0.55. 1100.55 = 200
• Thus, the number is 200.

200 minus 45 percent is 110.

Obviously, the derivation process of X minus percent is what has been implemented in What minus percent is Y.

So, the formula is

Y = X (1 – P%)

For example: 60 minus 20% is what?

Calculation steps:

• Substitute X = 60 and P = 20 into the formula. Y = 60 * (1 – 20%)
• Calculate the value in parentheses. 1 – 20% = 1 – 0.2 = 0.8
• Calculate the product of 60 and 0.8. 60 * 0.8 = 48.
• Thus, the number is 48.

60 minus 20 percent is 48.