52.92 is what percent of 878.47 - 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 878.47 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 878.47, so we can write it down as 100%=878.47.
4. We know, that x% equals 52.92 of the output value, so we can write it down as x%=52.92.
5. Now we have two simple equations:
1) 100%=878.47
2) x%=52.92
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%=878.47/52.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.92 is what percent of 878.47

100%/x%=878.47/52.92
(100/x)*x=(878.47/52.92)*x       - we multiply both sides of the equation by x
100=16.599962207105*x       - we divide both sides of the equation by (16.599962207105) to get x
100/16.599962207105=x
6.0241101005157=x
x=6.0241101005157

now we have:
52.92 is 6.0241101005157% of 878.47