20.5 is what percent of 691.6 - 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 691.6 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 691.6, so we can write it down as 100%=691.6.
4. We know, that x% equals 20.5 of the output value, so we can write it down as x%=20.5.
5. Now we have two simple equations:
1) 100%=691.6
2) x%=20.5
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%=691.6/20.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.5 is what percent of 691.6

100%/x%=691.6/20.5
(100/x)*x=(691.6/20.5)*x       - we multiply both sides of the equation by x
100=33.736585365854*x       - we divide both sides of the equation by (33.736585365854) to get x
100/33.736585365854=x
2.9641411220359=x
x=2.9641411220359

now we have:
20.5 is 2.9641411220359% of 691.6