14.59 is what percent of 1001.54 - 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 1001.54 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 1001.54, so we can write it down as 100%=1001.54.
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%=1001.54
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%=1001.54/14.59
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 1001.54

100%/x%=1001.54/14.59
(100/x)*x=(1001.54/14.59)*x       - we multiply both sides of the equation by x
100=68.645647703907*x       - we divide both sides of the equation by (68.645647703907) to get x
100/68.645647703907=x
1.4567565948439=x
x=1.4567565948439

now we have:
14.59 is 1.4567565948439% of 1001.54