20.69 is what percent of 117.09 - 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 117.09 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 117.09, so we can write it down as 100%=117.09.
4. We know, that x% equals 20.69 of the output value, so we can write it down as x%=20.69.
5. Now we have two simple equations:
1) 100%=117.09
2) x%=20.69
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%=117.09/20.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.69 is what percent of 117.09

100%/x%=117.09/20.69
(100/x)*x=(117.09/20.69)*x       - we multiply both sides of the equation by x
100=5.659255679072*x       - we divide both sides of the equation by (5.659255679072) to get x
100/5.659255679072=x
17.670168246648=x
x=17.670168246648

now we have:
20.69 is 17.670168246648% of 117.09