24.99 is what percent of 31.99 - 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 31.99 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 31.99, so we can write it down as 100%=31.99.
4. We know, that x% equals 24.99 of the output value, so we can write it down as x%=24.99.
5. Now we have two simple equations:
1) 100%=31.99
2) x%=24.99
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%=31.99/24.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.99 is what percent of 31.99

100%/x%=31.99/24.99
(100/x)*x=(31.99/24.99)*x       - we multiply both sides of the equation by x
100=1.2801120448179*x       - we divide both sides of the equation by (1.2801120448179) to get x
100/1.2801120448179=x
78.118161925602=x
x=78.118161925602

now we have:
24.99 is 78.118161925602% of 31.99