Q:

What is 23/66 as a percent?

Accepted Solution

A:
Solution: 23/66 as a percent is 34.848% Methods Method 1 – Converting 23/66 Into a Percentage: In a fraction, we can see how many β€œpieces” of a number are present (in the numerator) compared to how many pieces would make up the whole (the denominator). β€œPercent” means β€œper hundred”, which is like asking the question β€œhow 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 66 = 1.515 \frac{100}{66} = 1.515 66 100 ​ = 1.515 Then we can multiply both the numerator and denominator by this number: 23 βˆ— 1.515 66 βˆ— 1.515 = 34.848 100 \frac{23*1.515}{66*1.515} = \frac{34.848}{100} 66 βˆ— 1.515 23 βˆ— 1.515 ​ = 100 34.848 ​ This works because multiplying both the numerator and the denominator by the same number is like multiplying it by 1. (1.515 / 1.515 = 1) Re-writing the result as a percentage, we can see that 23/66 as a percentage is 34.848%. Method 2 – Converting 23/66 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 23/66 into a percentage, you would first convert 23/66 into a decimal by dividing the numerator by the denominator: 23 66 = 0.348 \frac{23}{66} = 0.348 66 23 ​ = 0.348 Once you have converted the fraction into a decimal, you can simply multiply by 100 to get the percentage: 0.348 x 100 = 34.848 And there you go! Now we can see that 23/66 as a percentage is 34.848%, the same way we did with the first method. Now you know of two ways you can convert 23/66 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 50/59 as a percent? What is 43/100 as a percent? What is 6/95 as a percent? What is 35/99 as a percent? What is 65/45 as a percent?