71.7 is what percent of 479.52 - 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 479.52 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 479.52, so we can write it down as 100%=479.52.
4. We know, that x% equals 71.7 of the output value, so we can write it down as x%=71.7.
5. Now we have two simple equations:
1) 100%=479.52
2) x%=71.7
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%=479.52/71.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.7 is what percent of 479.52

100%/x%=479.52/71.7
(100/x)*x=(479.52/71.7)*x       - we multiply both sides of the equation by x
100=6.6878661087866*x       - we divide both sides of the equation by (6.6878661087866) to get x
100/6.6878661087866=x
14.952452452452=x
x=14.952452452452

now we have:
71.7 is 14.952452452452% of 479.52