106.25 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 106.25 of the output value, so we can write it down as x%=106.25.
5. Now we have two simple equations:
1) 100%=460
2) x%=106.25
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%=460/106.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.25 is what percent of 460

100%/x%=460/106.25
(100/x)*x=(460/106.25)*x       - we multiply both sides of the equation by x
100=4.3294117647059*x       - we divide both sides of the equation by (4.3294117647059) to get x
100/4.3294117647059=x
23.097826086957=x
x=23.097826086957

now we have:
106.25 is 23.097826086957% of 460