# 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

 Convert the following fraction to a percentage and decimal: → 30 90

This is also written as 30 is what percent of 90?

 Percentage = Numerator * 100 Denominator

Evaluating using our inputs, we get:
 Percentage = 30 * 100 90

 Percentage = 3000 90

Percentage = 33.3333%

Now we need to calculate the decimal version of the percentage:
The decimal version of a percentage is just the percentage divided by 100.

Dividing by 100 is the same as shifting the decimal point 2 places to the left.
Shifting 33.3333 one decimal place to the left, we get --> 3.33333
Shifting 3.33333 another decimal place to the left, we get --> 0.3333

Check to see if 0.3333 is a terminating decimal:
A terminating decimal is one that ends and does not repeat
Since the decimals 3 repeats, this is not a terminating decimal