35.17 is what percent of 3885.35 - 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 3885.35 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 3885.35, so we can write it down as 100%=3885.35.
4. We know, that x% equals 35.17 of the output value, so we can write it down as x%=35.17.
5. Now we have two simple equations:
1) 100%=3885.35
2) x%=35.17
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%=3885.35/35.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.17 is what percent of 3885.35

100%/x%=3885.35/35.17
(100/x)*x=(3885.35/35.17)*x       - we multiply both sides of the equation by x
100=110.4734148422*x       - we divide both sides of the equation by (110.4734148422) to get x
100/110.4734148422=x
0.90519515616354=x
x=0.90519515616354

now we have:
35.17 is 0.90519515616354% of 3885.35