20.65 is what percent of 22.95 - 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 22.95 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 22.95, so we can write it down as 100%=22.95.
4. We know, that x% equals 20.65 of the output value, so we can write it down as x%=20.65.
5. Now we have two simple equations:
1) 100%=22.95
2) x%=20.65
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%=22.95/20.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.65 is what percent of 22.95

100%/x%=22.95/20.65
(100/x)*x=(22.95/20.65)*x       - we multiply both sides of the equation by x
100=1.1113801452785*x       - we divide both sides of the equation by (1.1113801452785) to get x
100/1.1113801452785=x
89.978213507625=x
x=89.978213507625

now we have:
20.65 is 89.978213507625% of 22.95