24.2 is what percent of 31 - 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 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, so we can write it down as 100%=31.
4. We know, that x% equals 24.2 of the output value, so we can write it down as x%=24.2.
5. Now we have two simple equations:
1) 100%=31
2) x%=24.2
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%=31/24.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.2 is what percent of 31

100%/x%=31/24.2
(100/x)*x=(31/24.2)*x       - we multiply both sides of the equation by x
100=1.2809917355372*x       - we divide both sides of the equation by (1.2809917355372) to get x
100/1.2809917355372=x
78.064516129032=x
x=78.064516129032

now we have:
24.2 is 78.064516129032% of 31