157.12 is what percent of 1304.35 - 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 1304.35 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 1304.35, so we can write it down as 100%=1304.35.
4. We know, that x% equals 157.12 of the output value, so we can write it down as x%=157.12.
5. Now we have two simple equations:
1) 100%=1304.35
2) x%=157.12
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%=1304.35/157.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.12 is what percent of 1304.35

100%/x%=1304.35/157.12
(100/x)*x=(1304.35/157.12)*x       - we multiply both sides of the equation by x
100=8.301616598778*x       - we divide both sides of the equation by (8.301616598778) to get x
100/8.301616598778=x
12.045846590256=x
x=12.045846590256

now we have:
157.12 is 12.045846590256% of 1304.35