What is 100/65 as a percent?

Accepted Solution

Solution: 100/65 as a percent is 153.846% Methods Method 1 – Converting 100/65 Into a Percentage: In a fraction, we can see how many “pieces” of a number are present (in the numerator) compared to how many pieces would make up the whole (the denominator). “Percent” means “per hundred”, which is like asking the question “how many pieces would there be if there were 100 pieces possible?” For example, if we look at the percentage 50%, that means we have 50 pieces of the possible 100. Re-writing this in fraction form, we see 50/100. We can start the process of converting a fraction into a percent, by figuring out how to adjust the fraction so that the denominator will be 100. First, divide 100 by the denominator: 100 65 = 1.538 \frac{100}{65} = 1.538 65 100 ​ = 1.538 Then we can multiply both the numerator and denominator by this number: 100 ∗ 1.538 65 ∗ 1.538 = 153.846 100 \frac{100*1.538}{65*1.538} = \frac{153.846}{100} 65 ∗ 1.538 100 ∗ 1.538 ​ = 100 153.846 ​ This works because multiplying both the numerator and the denominator by the same number is like multiplying it by 1. (1.538 / 1.538 = 1) Re-writing the result as a percentage, we can see that 100/65 as a percentage is 153.846%. Method 2 – Converting 100/65 Into a Percentage Using Decimals: Another common way to convert a fraction into a percentage is to first convert the fraction into a decimal. To convert 100/65 into a percentage, you would first convert 100/65 into a decimal by dividing the numerator by the denominator: 100 65 = 1.538 \frac{100}{65} = 1.538 65 100 ​ = 1.538 Once you have converted the fraction into a decimal, you can simply multiply by 100 to get the percentage: 1.538 x 100 = 153.846 And there you go! Now we can see that 100/65 as a percentage is 153.846%, the same way we did with the first method. Now you know of two ways you can convert 100/65 into a percentage. The best way to master these methods is to practice! Grab a pencil and paper, and come up with some of your own fractions, and become a master at converting them into percentages! Practice more percentage conversion problems With a just a few more problems, you could become a pro at converting fractions to percentages. You can try some more right now! What is 41/39 as a percent? What is 48/85 as a percent? What is 82/12 as a percent? What is 49/78 as a percent? What is 27/97 as a percent?