20 is what percent of 26.32 - 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 26.32 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 26.32, so we can write it down as 100%=26.32.
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%=26.32
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%=26.32/20
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 26.32

100%/x%=26.32/20
(100/x)*x=(26.32/20)*x       - we multiply both sides of the equation by x
100=1.316*x       - we divide both sides of the equation by (1.316) to get x
100/1.316=x
75.987841945289=x
x=75.987841945289

now we have:
20 is 75.987841945289% of 26.32