35.62 is what percent of 93.1 - 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 93.1 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 93.1, so we can write it down as 100%=93.1.
4. We know, that x% equals 35.62 of the output value, so we can write it down as x%=35.62.
5. Now we have two simple equations:
1) 100%=93.1
2) x%=35.62
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%=93.1/35.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.62 is what percent of 93.1

100%/x%=93.1/35.62
(100/x)*x=(93.1/35.62)*x       - we multiply both sides of the equation by x
100=2.6137001684447*x       - we divide both sides of the equation by (2.6137001684447) to get x
100/2.6137001684447=x
38.259935553169=x
x=38.259935553169

now we have:
35.62 is 38.259935553169% of 93.1