24.3 is what percent of 25.38 - 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 25.38 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 25.38, so we can write it down as 100%=25.38.
4. We know, that x% equals 24.3 of the output value, so we can write it down as x%=24.3.
5. Now we have two simple equations:
1) 100%=25.38
2) x%=24.3
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%=25.38/24.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.3 is what percent of 25.38

100%/x%=25.38/24.3
(100/x)*x=(25.38/24.3)*x       - we multiply both sides of the equation by x
100=1.0444444444444*x       - we divide both sides of the equation by (1.0444444444444) to get x
100/1.0444444444444=x
95.744680851064=x
x=95.744680851064

now we have:
24.3 is 95.744680851064% of 25.38