662.36 is what percent of 1103.93 - 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 1103.93 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 1103.93, so we can write it down as 100%=1103.93.
4. We know, that x% equals 662.36 of the output value, so we can write it down as x%=662.36.
5. Now we have two simple equations:
1) 100%=1103.93
2) x%=662.36
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%=1103.93/662.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 662.36 is what percent of 1103.93

100%/x%=1103.93/662.36
(100/x)*x=(1103.93/662.36)*x       - we multiply both sides of the equation by x
100=1.6666616341567*x       - we divide both sides of the equation by (1.6666616341567) to get x
100/1.6666616341567=x
60.000181170908=x
x=60.000181170908

now we have:
662.36 is 60.000181170908% of 1103.93