35.39 is what percent of 37.89 - 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 37.89 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 37.89, so we can write it down as 100%=37.89.
4. We know, that x% equals 35.39 of the output value, so we can write it down as x%=35.39.
5. Now we have two simple equations:
1) 100%=37.89
2) x%=35.39
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%=37.89/35.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.39 is what percent of 37.89

100%/x%=37.89/35.39
(100/x)*x=(37.89/35.39)*x       - we multiply both sides of the equation by x
100=1.0706414241311*x       - we divide both sides of the equation by (1.0706414241311) to get x
100/1.0706414241311=x
93.401953021906=x
x=93.401953021906

now we have:
35.39 is 93.401953021906% of 37.89