23.3 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 23.3 of the output value, so we can write it down as x%=23.3.
5. Now we have two simple equations:
1) 100%=27.5
2) x%=23.3
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%=27.5/23.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.3 is what percent of 27.5

100%/x%=27.5/23.3
(100/x)*x=(27.5/23.3)*x       - we multiply both sides of the equation by x
100=1.1802575107296*x       - we divide both sides of the equation by (1.1802575107296) to get x
100/1.1802575107296=x
84.727272727273=x
x=84.727272727273

now we have:
23.3 is 84.727272727273% of 27.5