727.25 is what percent of 817 - 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 817 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 817, so we can write it down as 100%=817.
4. We know, that x% equals 727.25 of the output value, so we can write it down as x%=727.25.
5. Now we have two simple equations:
1) 100%=817
2) x%=727.25
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%=817/727.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 727.25 is what percent of 817

100%/x%=817/727.25
(100/x)*x=(817/727.25)*x       - we multiply both sides of the equation by x
100=1.1234101065658*x       - we divide both sides of the equation by (1.1234101065658) to get x
100/1.1234101065658=x
89.014687882497=x
x=89.014687882497

now we have:
727.25 is 89.014687882497% of 817