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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 0.44% to a fraction and a decimal:

A percentage is a number expressed in terms of it's relation to 100.
It is a number divided by 100. We need to get to our original number.

We multiply our percentage by 100, which is the same as moving the decimal point to the right 2 places.
The first move to the right gives us 4.4. The second decimal place move gives us 0.44.

Now, since a percentage is expressed in relation to 100, our number is:
Percentage  =  0.44
  100

From our understanding of fractions, we see that 0.44 and 100 cannot be reduced down any more.
Our fraction answer is just 0.44/100.

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.
Shift 0.44 one decimal place to the left, we get --> 0.044
Shift 0.044 another decimal place to the left, we get --> 0.0044

Check to see if 0.0044 is a terminating decimal:

A terminating decimal is one that ends
Since the decimals 4 does not repeat,
this is a terminating decimal


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

Free Percentage-Decimal-Fraction Relations Calculator - 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?

Percent = Decimal * 100%
Decimal = Percent/100
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

Example calculations for the Percentage-Decimal-Fraction Relations Calculator

  1. 20% of 50
  2. 42 percent of 80
  3. 1/8 to decimal
  4. convert 5/9 to decimal
  5. 88.596 to fraction
  6. 45 is 10% of what number
  7. 55 is 60% of what?
  8. 80% of what number =40
  9. What is the percent change from 90 to 110
  10. What percent of 20 is 30?
  11. 45% of what is 9
  12. 10% more than 90
  13. 30% less than 120
  14. What percent of 3000 is 389.4

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