24.95 is what percent of 159.99 - 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 159.99 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 159.99, so we can write it down as 100%=159.99.
4. We know, that x% equals 24.95 of the output value, so we can write it down as x%=24.95.
5. Now we have two simple equations:
1) 100%=159.99
2) x%=24.95
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%=159.99/24.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.95 is what percent of 159.99

100%/x%=159.99/24.95
(100/x)*x=(159.99/24.95)*x       - we multiply both sides of the equation by x
100=6.4124248496994*x       - we divide both sides of the equation by (6.4124248496994) to get x
100/6.4124248496994=x
15.594724670292=x
x=15.594724670292

now we have:
24.95 is 15.594724670292% of 159.99