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

7. Solution for 2070.95 is what percent of 472.15

100%/x%=472.15/2070.95
(100/x)*x=(472.15/2070.95)*x       - we multiply both sides of the equation by x
100=0.2279871556532*x       - we divide both sides of the equation by (0.2279871556532) to get x
100/0.2279871556532=x
438.62120088955=x
x=438.62120088955

now we have:
2070.95 is 438.62120088955% of 472.15