820.25 is what percent of 875 - 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 875 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 875, so we can write it down as 100%=875.
4. We know, that x% equals 820.25 of the output value, so we can write it down as x%=820.25.
5. Now we have two simple equations:
1) 100%=875
2) x%=820.25
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%=875/820.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 820.25 is what percent of 875

100%/x%=875/820.25
(100/x)*x=(875/820.25)*x       - we multiply both sides of the equation by x
100=1.0667479427004*x       - we divide both sides of the equation by (1.0667479427004) to get x
100/1.0667479427004=x
93.742857142857=x
x=93.742857142857

now we have:
820.25 is 93.742857142857% of 875