24.9 is what percent of 51.59 - 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 51.59 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 51.59, so we can write it down as 100%=51.59.
4. We know, that x% equals 24.9 of the output value, so we can write it down as x%=24.9.
5. Now we have two simple equations:
1) 100%=51.59
2) x%=24.9
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%=51.59/24.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.9 is what percent of 51.59

100%/x%=51.59/24.9
(100/x)*x=(51.59/24.9)*x       - we multiply both sides of the equation by x
100=2.0718875502008*x       - we divide both sides of the equation by (2.0718875502008) to get x
100/2.0718875502008=x
48.265167668153=x
x=48.265167668153

now we have:
24.9 is 48.265167668153% of 51.59