157.8 is what percent of 1508.04 - 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 1508.04 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 1508.04, so we can write it down as 100%=1508.04.
4. We know, that x% equals 157.8 of the output value, so we can write it down as x%=157.8.
5. Now we have two simple equations:
1) 100%=1508.04
2) x%=157.8
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%=1508.04/157.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.8 is what percent of 1508.04

100%/x%=1508.04/157.8
(100/x)*x=(1508.04/157.8)*x       - we multiply both sides of the equation by x
100=9.5566539923954*x       - we divide both sides of the equation by (9.5566539923954) to get x
100/9.5566539923954=x
10.463913424047=x
x=10.463913424047

now we have:
157.8 is 10.463913424047% of 1508.04