14.59 is what percent of 29.17 - 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 29.17 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 29.17, so we can write it down as 100%=29.17.
4. We know, that x% equals 14.59 of the output value, so we can write it down as x%=14.59.
5. Now we have two simple equations:
1) 100%=29.17
2) x%=14.59
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%=29.17/14.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.59 is what percent of 29.17

100%/x%=29.17/14.59
(100/x)*x=(29.17/14.59)*x       - we multiply both sides of the equation by x
100=1.9993145990404*x       - we divide both sides of the equation by (1.9993145990404) to get x
100/1.9993145990404=x
50.017140898183=x
x=50.017140898183

now we have:
14.59 is 50.017140898183% of 29.17