652.2 is what percent of 782 - 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 782 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 782, so we can write it down as 100%=782.
4. We know, that x% equals 652.2 of the output value, so we can write it down as x%=652.2.
5. Now we have two simple equations:
1) 100%=782
2) x%=652.2
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%=782/652.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 652.2 is what percent of 782

100%/x%=782/652.2
(100/x)*x=(782/652.2)*x       - we multiply both sides of the equation by x
100=1.1990187059184*x       - we divide both sides of the equation by (1.1990187059184) to get x
100/1.1990187059184=x
83.401534526854=x
x=83.401534526854

now we have:
652.2 is 83.401534526854% of 782