721.22 is what percent of 900.25 - 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 900.25 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 900.25, so we can write it down as 100%=900.25.
4. We know, that x% equals 721.22 of the output value, so we can write it down as x%=721.22.
5. Now we have two simple equations:
1) 100%=900.25
2) x%=721.22
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%=900.25/721.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 721.22 is what percent of 900.25

100%/x%=900.25/721.22
(100/x)*x=(900.25/721.22)*x       - we multiply both sides of the equation by x
100=1.2482321621697*x       - we divide both sides of the equation by (1.2482321621697) to get x
100/1.2482321621697=x
80.113301860594=x
x=80.113301860594

now we have:
721.22 is 80.113301860594% of 900.25