71 is what percent of 724 - 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 724 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 724, so we can write it down as 100%=724.
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%=724
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%=724/71
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 724

100%/x%=724/71
(100/x)*x=(724/71)*x       - we multiply both sides of the equation by x
100=10.197183098592*x       - we divide both sides of the equation by (10.197183098592) to get x
100/10.197183098592=x
9.8066298342541=x
x=9.8066298342541

now we have:
71 is 9.8066298342541% of 724