24.4 is what percent of 31.5 - 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 31.5 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 31.5, so we can write it down as 100%=31.5.
4. We know, that x% equals 24.4 of the output value, so we can write it down as x%=24.4.
5. Now we have two simple equations:
1) 100%=31.5
2) x%=24.4
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%=31.5/24.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.4 is what percent of 31.5

100%/x%=31.5/24.4
(100/x)*x=(31.5/24.4)*x       - we multiply both sides of the equation by x
100=1.2909836065574*x       - we divide both sides of the equation by (1.2909836065574) to get x
100/1.2909836065574=x
77.460317460317=x
x=77.460317460317

now we have:
24.4 is 77.460317460317% of 31.5