47.52 is what percent of 460.33 - 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 460.33 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 460.33, so we can write it down as 100%=460.33.
4. We know, that x% equals 47.52 of the output value, so we can write it down as x%=47.52.
5. Now we have two simple equations:
1) 100%=460.33
2) x%=47.52
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%=460.33/47.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.52 is what percent of 460.33

100%/x%=460.33/47.52
(100/x)*x=(460.33/47.52)*x       - we multiply both sides of the equation by x
100=9.6870791245791*x       - we divide both sides of the equation by (9.6870791245791) to get x
100/9.6870791245791=x
10.323029131275=x
x=10.323029131275

now we have:
47.52 is 10.323029131275% of 460.33