656.55 is what percent of 1707.84 - 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 1707.84 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 1707.84, so we can write it down as 100%=1707.84.
4. We know, that x% equals 656.55 of the output value, so we can write it down as x%=656.55.
5. Now we have two simple equations:
1) 100%=1707.84
2) x%=656.55
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%=1707.84/656.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 656.55 is what percent of 1707.84

100%/x%=1707.84/656.55
(100/x)*x=(1707.84/656.55)*x       - we multiply both sides of the equation by x
100=2.6012337217272*x       - we divide both sides of the equation by (2.6012337217272) to get x
100/2.6012337217272=x
38.443296795953=x
x=38.443296795953

now we have:
656.55 is 38.443296795953% of 1707.84