15.02 is what percent of 185.06 - 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 185.06 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 185.06, so we can write it down as 100%=185.06.
4. We know, that x% equals 15.02 of the output value, so we can write it down as x%=15.02.
5. Now we have two simple equations:
1) 100%=185.06
2) x%=15.02
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%=185.06/15.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.02 is what percent of 185.06

100%/x%=185.06/15.02
(100/x)*x=(185.06/15.02)*x       - we multiply both sides of the equation by x
100=12.320905459387*x       - we divide both sides of the equation by (12.320905459387) to get x
100/12.320905459387=x
8.1162866097482=x
x=8.1162866097482

now we have:
15.02 is 8.1162866097482% of 185.06