710.53 is what percent of 878.24 - 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 878.24 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 878.24, so we can write it down as 100%=878.24.
4. We know, that x% equals 710.53 of the output value, so we can write it down as x%=710.53.
5. Now we have two simple equations:
1) 100%=878.24
2) x%=710.53
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%=878.24/710.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 710.53 is what percent of 878.24

100%/x%=878.24/710.53
(100/x)*x=(878.24/710.53)*x       - we multiply both sides of the equation by x
100=1.2360350724107*x       - we divide both sides of the equation by (1.2360350724107) to get x
100/1.2360350724107=x
80.903853160867=x
x=80.903853160867

now we have:
710.53 is 80.903853160867% of 878.24