430.16 is what percent of 472.13 - 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 472.13 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 472.13, so we can write it down as 100%=472.13.
4. We know, that x% equals 430.16 of the output value, so we can write it down as x%=430.16.
5. Now we have two simple equations:
1) 100%=472.13
2) x%=430.16
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%=472.13/430.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 430.16 is what percent of 472.13

100%/x%=472.13/430.16
(100/x)*x=(472.13/430.16)*x       - we multiply both sides of the equation by x
100=1.0975683466617*x       - we divide both sides of the equation by (1.0975683466617) to get x
100/1.0975683466617=x
91.110499226908=x
x=91.110499226908

now we have:
430.16 is 91.110499226908% of 472.13