23.65 is what percent of 27.5 - 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 27.5 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 27.5, so we can write it down as 100%=27.5.
4. We know, that x% equals 23.65 of the output value, so we can write it down as x%=23.65.
5. Now we have two simple equations:
1) 100%=27.5
2) x%=23.65
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%=27.5/23.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.65 is what percent of 27.5

100%/x%=27.5/23.65
(100/x)*x=(27.5/23.65)*x       - we multiply both sides of the equation by x
100=1.1627906976744*x       - we divide both sides of the equation by (1.1627906976744) to get x
100/1.1627906976744=x
86=x
x=86

now we have:
23.65 is 86% of 27.5