852.5 is what percent of 22500 - 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 22500 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 22500, so we can write it down as 100%=22500.
4. We know, that x% equals 852.5 of the output value, so we can write it down as x%=852.5.
5. Now we have two simple equations:
1) 100%=22500
2) x%=852.5
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%=22500/852.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 852.5 is what percent of 22500

100%/x%=22500/852.5
(100/x)*x=(22500/852.5)*x       - we multiply both sides of the equation by x
100=26.392961876833*x       - we divide both sides of the equation by (26.392961876833) to get x
100/26.392961876833=x
3.7888888888889=x
x=3.7888888888889

now we have:
852.5 is 3.7888888888889% of 22500