897.5 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 897.5 of the output value, so we can write it down as x%=897.5.
5. Now we have two simple equations:
1) 100%=1250
2) x%=897.5
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%=1250/897.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 897.5 is what percent of 1250

100%/x%=1250/897.5
(100/x)*x=(1250/897.5)*x       - we multiply both sides of the equation by x
100=1.3927576601671*x       - we divide both sides of the equation by (1.3927576601671) to get x
100/1.3927576601671=x
71.8=x
x=71.8

now we have:
897.5 is 71.8% of 1250