157.93 is what percent of 460 - 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 460 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 460, so we can write it down as 100%=460.
4. We know, that x% equals 157.93 of the output value, so we can write it down as x%=157.93.
5. Now we have two simple equations:
1) 100%=460
2) x%=157.93
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%=460/157.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.93 is what percent of 460

100%/x%=460/157.93
(100/x)*x=(460/157.93)*x       - we multiply both sides of the equation by x
100=2.912682834167*x       - we divide both sides of the equation by (2.912682834167) to get x
100/2.912682834167=x
34.332608695652=x
x=34.332608695652

now we have:
157.93 is 34.332608695652% of 460