445.97 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 445.97 of the output value, so we can write it down as x%=445.97.
5. Now we have two simple equations:
1) 100%=470
2) x%=445.97
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%=470/445.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 445.97 is what percent of 470

100%/x%=470/445.97
(100/x)*x=(470/445.97)*x       - we multiply both sides of the equation by x
100=1.0538825481535*x       - we divide both sides of the equation by (1.0538825481535) to get x
100/1.0538825481535=x
94.887234042553=x
x=94.887234042553

now we have:
445.97 is 94.887234042553% of 470