27.5 is what percent of 31.6 - 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 31.6 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 31.6, so we can write it down as 100%=31.6.
4. We know, that x% equals 27.5 of the output value, so we can write it down as x%=27.5.
5. Now we have two simple equations:
1) 100%=31.6
2) x%=27.5
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%=31.6/27.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.5 is what percent of 31.6

100%/x%=31.6/27.5
(100/x)*x=(31.6/27.5)*x       - we multiply both sides of the equation by x
100=1.1490909090909*x       - we divide both sides of the equation by (1.1490909090909) to get x
100/1.1490909090909=x
87.025316455696=x
x=87.025316455696

now we have:
27.5 is 87.025316455696% of 31.6