32.6 is what percent of 37.7 - 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 37.7 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 37.7, so we can write it down as 100%=37.7.
4. We know, that x% equals 32.6 of the output value, so we can write it down as x%=32.6.
5. Now we have two simple equations:
1) 100%=37.7
2) x%=32.6
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%=37.7/32.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.6 is what percent of 37.7

100%/x%=37.7/32.6
(100/x)*x=(37.7/32.6)*x       - we multiply both sides of the equation by x
100=1.1564417177914*x       - we divide both sides of the equation by (1.1564417177914) to get x
100/1.1564417177914=x
86.472148541114=x
x=86.472148541114

now we have:
32.6 is 86.472148541114% of 37.7