# 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:  → 389.4 3000

This is also written as 389.4 is what percent of 3000?

 Percentage  = Numerator * 100 Denominator

Evaluating using our inputs, we get:
 Percentage  = 389.4 * 100 3000

 Percentage  = 38940 3000

Percentage  =   12.98%

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 12.98 one decimal place to the left, we get --> 1.298
Shifting 1.298 another decimal place to the left, we get --> 0.1298

## Check to see if 0.1298 is a terminating decimal:

A terminating decimal is one that ends and does not repeat
Since the decimals 8 does not repeat, this is a terminating decimal

### 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

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