445.35 is what percent of 470 - 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 470 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 470, so we can write it down as 100%=470.
4. We know, that x% equals 445.35 of the output value, so we can write it down as x%=445.35.
5. Now we have two simple equations:
1) 100%=470
2) x%=445.35
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%=470/445.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 445.35 is what percent of 470

100%/x%=470/445.35
(100/x)*x=(470/445.35)*x       - we multiply both sides of the equation by x
100=1.0553497249354*x       - we divide both sides of the equation by (1.0553497249354) to get x
100/1.0553497249354=x
94.755319148936=x
x=94.755319148936

now we have:
445.35 is 94.755319148936% of 470