 # Percentage-Decimal-Fraction Relations Calculator

Choose the appropriate button below, enter your numbers, and press Calculate.
divided by  equals what percent (%) and what decimal?
is  percent (%) of what number?
percent (%) of   equals what number?
percent (%)   equals what number?
Convert  percent (%) to a decimal and a fraction.
Convert the decimal  to a percentage and a fraction.
Calculate the percentage change from  to
What percent of  is
% of % is

40 is 80 percent (%) of what number?

Let's call our missing number x.
Expressing this in terms of an equation, we get 40 = 80% * x
Since a percentage is just the percent number divided by 100, we have:
 40  = 80x 100

Multiply both sides of the equation through by 100 and simplify:
 40 * 100  = 80 * 100x 100

4000  =  80x

Since we want to solve for our missing number x, divide each side of the equation by 80
 4000 80
 =
 80x 80

Cancel both 80 and simplify:
 4000 80
 =
 80x 80

 x  = 4000 80

Therefore, our missing number x = 50
Now we know that 40 is 80 percent (%) of 50.

### How does the Percentage-Decimal-Fraction Relations Calculator work?

Calculates the relational items between a fraction, a decimal (including repeating decimal and terminating decimal), a percentage, and the numerator and denominator piece of that fraction. Also calculates the percentage change going from one number to another or the amount increase or decrease of a percentage above/below a number. Round decimals. decimals into fractions
This calculator has 1 input.

### What 3 formulas are used for the Percentage-Decimal-Fraction Relations Calculator?

1. Percent = Decimal * 100%
2. Decimal = Percent/100
3. Decimal = Numerator/Denominator

For more math formulas, check out our Formula Dossier

### What 6 concepts are covered in the Percentage-Decimal-Fraction Relations Calculator?

decimal
Number in the form a/b where the result is not a whole number
denominator
The bottom portion of a fraction. For a/b, b is the denominator
fraction
how many parts of a certain size exist
a/b where a is the numerator and b is the denominator
numerator
the number above the line in a common fraction
percent
a specified amount in or for every hundred. one part in every hundred.
n% = n/100
percentage-decimal-fraction relations