71 is what percent of 636 - 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 636 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 636, so we can write it down as 100%=636.
4. We know, that x% equals 71 of the output value, so we can write it down as x%=71.
5. Now we have two simple equations:
1) 100%=636
2) x%=71
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%=636/71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71 is what percent of 636

100%/x%=636/71
(100/x)*x=(636/71)*x       - we multiply both sides of the equation by x
100=8.9577464788732*x       - we divide both sides of the equation by (8.9577464788732) to get x
100/8.9577464788732=x
11.163522012579=x
x=11.163522012579

now we have:
71 is 11.163522012579% of 636