23.53 is what percent of 25.18 - 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 25.18 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 25.18, so we can write it down as 100%=25.18.
4. We know, that x% equals 23.53 of the output value, so we can write it down as x%=23.53.
5. Now we have two simple equations:
1) 100%=25.18
2) x%=23.53
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%=25.18/23.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.53 is what percent of 25.18

100%/x%=25.18/23.53
(100/x)*x=(25.18/23.53)*x       - we multiply both sides of the equation by x
100=1.0701232469188*x       - we divide both sides of the equation by (1.0701232469188) to get x
100/1.0701232469188=x
93.447180301827=x
x=93.447180301827

now we have:
23.53 is 93.447180301827% of 25.18