15.8 is what percent of 45.1 - 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 45.1 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 45.1, so we can write it down as 100%=45.1.
4. We know, that x% equals 15.8 of the output value, so we can write it down as x%=15.8.
5. Now we have two simple equations:
1) 100%=45.1
2) x%=15.8
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%=45.1/15.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.8 is what percent of 45.1

100%/x%=45.1/15.8
(100/x)*x=(45.1/15.8)*x       - we multiply both sides of the equation by x
100=2.8544303797468*x       - we divide both sides of the equation by (2.8544303797468) to get x
100/2.8544303797468=x
35.033259423503=x
x=35.033259423503

now we have:
15.8 is 35.033259423503% of 45.1