4.15 is what percent of 35.62 - 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 35.62 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 35.62, so we can write it down as 100%=35.62.
4. We know, that x% equals 4.15 of the output value, so we can write it down as x%=4.15.
5. Now we have two simple equations:
1) 100%=35.62
2) x%=4.15
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%=35.62/4.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.15 is what percent of 35.62

100%/x%=35.62/4.15
(100/x)*x=(35.62/4.15)*x       - we multiply both sides of the equation by x
100=8.5831325301205*x       - we divide both sides of the equation by (8.5831325301205) to get x
100/8.5831325301205=x
11.650758001123=x
x=11.650758001123

now we have:
4.15 is 11.650758001123% of 35.62