74945.68 is what percent of 497278.16 - 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 497278.16 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 497278.16, so we can write it down as 100%=497278.16.
4. We know, that x% equals 74945.68 of the output value, so we can write it down as x%=74945.68.
5. Now we have two simple equations:
1) 100%=497278.16
2) x%=74945.68
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%=497278.16/74945.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74945.68 is what percent of 497278.16

100%/x%=497278.16/74945.68
(100/x)*x=(497278.16/74945.68)*x       - we multiply both sides of the equation by x
100=6.6351811071699*x       - we divide both sides of the equation by (6.6351811071699) to get x
100/6.6351811071699=x
15.071178673924=x
x=15.071178673924

now we have:
74945.68 is 15.071178673924% of 497278.16