20 is what percent of 26.13 - 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 26.13 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 26.13, so we can write it down as 100%=26.13.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=26.13
2) x%=20
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%=26.13/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 26.13

100%/x%=26.13/20
(100/x)*x=(26.13/20)*x       - we multiply both sides of the equation by x
100=1.3065*x       - we divide both sides of the equation by (1.3065) to get x
100/1.3065=x
76.540375047838=x
x=76.540375047838

now we have:
20 is 76.540375047838% of 26.13