What percentage is 9 out of 12

Solution and how to convert 9 / 12 into a percentage

Fraction to Percent Conversion Summary

We encourage you to check out our introduction to percentage page for a little recap of what percentage is. You can also learn about fractions in our fractions section of the website. Sometimes, you may want to express a fraction in the form of a percentage, or vice-versa. This page will cover the former case. Luckily for us, this problem only requires a bit of multiplication and division. We recommend that you use a calculator, but solving these problems by hand or in your head is possibly too! Here's how we discovered that 9 / 12 = 75% :

• Step 1: Divide 9 by 12 to get the number as a decimal. 9 / 12 = 0.75
• Step 2: Multiply 0.75 by 100. 0.75 times 100 = 75. That's all there is to it!

When are fractions useful?

Fractions are commonly used in everyday life. If you are splitting a bill or trying to score a test, you will often describe the problem using fractions. Sometimes, you may want to express the fraction as a percentage.

Convert 9 / 12 into a percentage or decimal

Fraction Conversion Table

Find the Denominator

A percentage is a number out of 100, so we need to make our denominator 100!

If the original denominator is 12, we need to solve for how we can make the denominator 100.

To convert this fraction, we would divide 100 by 12, which gives us 8.33.

Find the Numerator

Now, we multiply 8.33 by 9, our original numerator, which is equal to 75

Convert your Fraction to a Percent

Remember, a percentage is any number out of 100. If we can balance 9 / 12 with a new denominator of 100, we can find the percentage of that fraction!

Help your students convert 9 / 12 through further understanding:

• What is the numerator of 9 / 12?
• What is the denominator of 9 / 12?
• When would you use 9 / 12 as a fraction? Give examples
• When would you use 9 / 12 as a decimal? Give examples
• When would you use 9 / 12 as a percentage? Give examples
• What are three other fractions that convert to 75%?
• Ask your students to think of three real life examples of when to use fractions vs percentages.
• Which fraction is larger: 9 / 12 or 88 / 67?

9/12*100

= (9*100)/12

= 900/12 = 75

Now we have: 9 is what percent of 12 = 75

Question: 9 is what percent of 12?

Percentage solution with steps:

Step 1: We make the assumption that 12 is 100 % since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100 % = 12.

Step 4: In the same vein, x % = 9 .

Step 5: This gives us a pair of simple equations:

100 % = 12(1).

x % = 9(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

100 % / x % = 12/9

Step 7: Taking the inverse (or reciprocal) of both sides yields

x/100 = 9/12

x = 75 %

Therefore, 9 is 75 % of 12.

12/9*100

= (12*100)/9

= 1200/9 = 133.3333

Now we have: 12 is what percent of 9 = 133.3333

Question: 12 is what percent of 9?

Percentage solution with steps:

Step 1: We make the assumption that 9 is 100 % since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100 % = 9.

Step 4: In the same vein, x % = 12 .

Step 5: This gives us a pair of simple equations:

100 % = 9(1).

x % = 12(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

100 % / x % = 9/12

Step 7: Taking the inverse (or reciprocal) of both sides yields

x/100 = 12/9

x = 133.3333 %

Therefore, 12 is 133.3333 % of 9.

1. 9 is what percent of 12?

9 is 75 percent of 12.

2. How to calculate 9 is what percent of 12?

First we have to divide 9 with 12 and multiply with 100 = (9/12)*100 = (9*100)/12 = 75.

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