39.48 is what percent of 667.716 - 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 667.716 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 667.716, so we can write it down as 100%=667.716.
4. We know, that x% equals 39.48 of the output value, so we can write it down as x%=39.48.
5. Now we have two simple equations:
1) 100%=667.716
2) x%=39.48
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%=667.716/39.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.48 is what percent of 667.716

100%/x%=667.716/39.48
(100/x)*x=(667.716/39.48)*x       - we multiply both sides of the equation by x
100=16.912765957447*x       - we divide both sides of the equation by (16.912765957447) to get x
100/16.912765957447=x
5.912693420556=x
x=5.912693420556

now we have:
39.48 is 5.912693420556% of 667.716