722.35 is what percent of 800.68 - 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 800.68 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 800.68, so we can write it down as 100%=800.68.
4. We know, that x% equals 722.35 of the output value, so we can write it down as x%=722.35.
5. Now we have two simple equations:
1) 100%=800.68
2) x%=722.35
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%=800.68/722.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 722.35 is what percent of 800.68

100%/x%=800.68/722.35
(100/x)*x=(800.68/722.35)*x       - we multiply both sides of the equation by x
100=1.1084377379387*x       - we divide both sides of the equation by (1.1084377379387) to get x
100/1.1084377379387=x
90.21706549433=x
x=90.21706549433

now we have:
722.35 is 90.21706549433% of 800.68