71.5 is what percent of 878.38 - 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 878.38 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 878.38, so we can write it down as 100%=878.38.
4. We know, that x% equals 71.5 of the output value, so we can write it down as x%=71.5.
5. Now we have two simple equations:
1) 100%=878.38
2) x%=71.5
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%=878.38/71.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.5 is what percent of 878.38

100%/x%=878.38/71.5
(100/x)*x=(878.38/71.5)*x       - we multiply both sides of the equation by x
100=12.285034965035*x       - we divide both sides of the equation by (12.285034965035) to get x
100/12.285034965035=x
8.1399849723354=x
x=8.1399849723354

now we have:
71.5 is 8.1399849723354% of 878.38