407.2 is what percent of 667 - 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 667 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 667, so we can write it down as 100%=667.
4. We know, that x% equals 407.2 of the output value, so we can write it down as x%=407.2.
5. Now we have two simple equations:
1) 100%=667
2) x%=407.2
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%=667/407.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 407.2 is what percent of 667

100%/x%=667/407.2
(100/x)*x=(667/407.2)*x       - we multiply both sides of the equation by x
100=1.63801571709*x       - we divide both sides of the equation by (1.63801571709) to get x
100/1.63801571709=x
61.0494752624=x
x=61.0494752624

now we have:
407.2 is 61.0494752624% of 667