39.67 is what percent of 708.79 - 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 708.79 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 708.79, so we can write it down as 100%=708.79.
4. We know, that x% equals 39.67 of the output value, so we can write it down as x%=39.67.
5. Now we have two simple equations:
1) 100%=708.79
2) x%=39.67
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%=708.79/39.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.67 is what percent of 708.79

100%/x%=708.79/39.67
(100/x)*x=(708.79/39.67)*x       - we multiply both sides of the equation by x
100=17.867154020671*x       - we divide both sides of the equation by (17.867154020671) to get x
100/17.867154020671=x
5.5968622582147=x
x=5.5968622582147

now we have:
39.67 is 5.5968622582147% of 708.79