8 is what percent of 5? Plz help

1 Answer
Mar 7, 2018

8 is 160% of 5.

Explanation:

Let's see if we can "translate" this sentence into numbers that we can work with. The 8 is going to stay the same because it's already a number. "Is" indicates an equal sign. "What percent" is something we don't know, so let's go ahead and call it #\fracx 100# because we know it's a percent. And lastly, 5 is going to stay the same because it is also already a number.

That gives us the following equation:
#8 = \fracx 100 \times 5#.

To solve for #x#, we divide both sides by 5 so we can start to isolate #x#:
#\frac 8 5 = \fracx 100#.

As a decimal, #\frac8 5# is #1.6#, so we can write this:
#1.6 = \fracx 100#.

To finish isolating #x#, we multiply both sides by #100#:
#160 = x#.

And there you have it; 8 is 160% of 5.