35.92 is what percent of 359.16 - 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 359.16 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 359.16, so we can write it down as 100%=359.16.
4. We know, that x% equals 35.92 of the output value, so we can write it down as x%=35.92.
5. Now we have two simple equations:
1) 100%=359.16
2) x%=35.92
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%=359.16/35.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.92 is what percent of 359.16

100%/x%=359.16/35.92
(100/x)*x=(359.16/35.92)*x       - we multiply both sides of the equation by x
100=9.9988864142539*x       - we divide both sides of the equation by (9.9988864142539) to get x
100/9.9988864142539=x
10.001113709767=x
x=10.001113709767

now we have:
35.92 is 10.001113709767% of 359.16