617.8 is what percent of 36 - 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 36 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 36, so we can write it down as 100%=36.
4. We know, that x% equals 617.8 of the output value, so we can write it down as x%=617.8.
5. Now we have two simple equations:
1) 100%=36
2) x%=617.8
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%=36/617.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 617.8 is what percent of 36

100%/x%=36/617.8
(100/x)*x=(36/617.8)*x       - we multiply both sides of the equation by x
100=0.058271285205568*x       - we divide both sides of the equation by (0.058271285205568) to get x
100/0.058271285205568=x
1716.1111111111=x
x=1716.1111111111

now we have:
617.8 is 1716.1111111111% of 36