156.25 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 156.25 of the output value, so we can write it down as x%=156.25.
5. Now we have two simple equations:
1) 100%=460
2) x%=156.25
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%=460/156.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 156.25 is what percent of 460

100%/x%=460/156.25
(100/x)*x=(460/156.25)*x       - we multiply both sides of the equation by x
100=2.944*x       - we divide both sides of the equation by (2.944) to get x
100/2.944=x
33.967391304348=x
x=33.967391304348

now we have:
156.25 is 33.967391304348% of 460