662.73 is what percent of 940 - 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 940 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 940, so we can write it down as 100%=940.
4. We know, that x% equals 662.73 of the output value, so we can write it down as x%=662.73.
5. Now we have two simple equations:
1) 100%=940
2) x%=662.73
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%=940/662.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 662.73 is what percent of 940

100%/x%=940/662.73
(100/x)*x=(940/662.73)*x       - we multiply both sides of the equation by x
100=1.418375507371*x       - we divide both sides of the equation by (1.418375507371) to get x
100/1.418375507371=x
70.503191489362=x
x=70.503191489362

now we have:
662.73 is 70.503191489362% of 940