472.15 is what percent of 2070.95 - 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 2070.95 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 2070.95, so we can write it down as 100%=2070.95.
4. We know, that x% equals 472.15 of the output value, so we can write it down as x%=472.15.
5. Now we have two simple equations:
1) 100%=2070.95
2) x%=472.15
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%=2070.95/472.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 472.15 is what percent of 2070.95

100%/x%=2070.95/472.15
(100/x)*x=(2070.95/472.15)*x       - we multiply both sides of the equation by x
100=4.3862120088955*x       - we divide both sides of the equation by (4.3862120088955) to get x
100/4.3862120088955=x
22.79871556532=x
x=22.79871556532

now we have:
472.15 is 22.79871556532% of 2070.95