74.18 is what percent of 657.25 - 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 657.25 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 657.25, so we can write it down as 100%=657.25.
4. We know, that x% equals 74.18 of the output value, so we can write it down as x%=74.18.
5. Now we have two simple equations:
1) 100%=657.25
2) x%=74.18
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%=657.25/74.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.18 is what percent of 657.25

100%/x%=657.25/74.18
(100/x)*x=(657.25/74.18)*x       - we multiply both sides of the equation by x
100=8.860204906983*x       - we divide both sides of the equation by (8.860204906983) to get x
100/8.860204906983=x
11.286420692278=x
x=11.286420692278

now we have:
74.18 is 11.286420692278% of 657.25