31.9 is what percent of 87.8 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 87.8 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 87.8, so we can write it down as 100%=87.8.
4. We know, that x% equals 31.9 of the output value, so we can write it down as x%=31.9.
5. Now we have two simple equations:
1) 100%=87.8
2) x%=31.9
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=87.8/31.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.9 is what percent of 87.8

100%/x%=87.8/31.9
(100/x)*x=(87.8/31.9)*x       - we multiply both sides of the equation by x
100=2.7523510971787*x       - we divide both sides of the equation by (2.7523510971787) to get x
100/2.7523510971787=x
36.332574031891=x
x=36.332574031891

now we have:
31.9 is 36.332574031891% of 87.8