74.72 is what percent of 666.37 - 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 666.37 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 666.37, so we can write it down as 100%=666.37.
4. We know, that x% equals 74.72 of the output value, so we can write it down as x%=74.72.
5. Now we have two simple equations:
1) 100%=666.37
2) x%=74.72
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%=666.37/74.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.72 is what percent of 666.37

100%/x%=666.37/74.72
(100/x)*x=(666.37/74.72)*x       - we multiply both sides of the equation by x
100=8.9182280513919*x       - we divide both sides of the equation by (8.9182280513919) to get x
100/8.9182280513919=x
11.212989780452=x
x=11.212989780452

now we have:
74.72 is 11.212989780452% of 666.37