85.22 is what percent of 1250 - 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 1250 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 1250, so we can write it down as 100%=1250.
4. We know, that x% equals 85.22 of the output value, so we can write it down as x%=85.22.
5. Now we have two simple equations:
1) 100%=1250
2) x%=85.22
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%=1250/85.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.22 is what percent of 1250

100%/x%=1250/85.22
(100/x)*x=(1250/85.22)*x       - we multiply both sides of the equation by x
100=14.667918329031*x       - we divide both sides of the equation by (14.667918329031) to get x
100/14.667918329031=x
6.8176=x
x=6.8176

now we have:
85.22 is 6.8176% of 1250