6.28 is what percent of 15.08 - 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 15.08 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 15.08, so we can write it down as 100%=15.08.
4. We know, that x% equals 6.28 of the output value, so we can write it down as x%=6.28.
5. Now we have two simple equations:
1) 100%=15.08
2) x%=6.28
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%=15.08/6.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.28 is what percent of 15.08

100%/x%=15.08/6.28
(100/x)*x=(15.08/6.28)*x       - we multiply both sides of the equation by x
100=2.4012738853503*x       - we divide both sides of the equation by (2.4012738853503) to get x
100/2.4012738853503=x
41.644562334218=x
x=41.644562334218

now we have:
6.28 is 41.644562334218% of 15.08