103.62 is what percent of 14.2 - 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 14.2 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 14.2, so we can write it down as 100%=14.2.
4. We know, that x% equals 103.62 of the output value, so we can write it down as x%=103.62.
5. Now we have two simple equations:
1) 100%=14.2
2) x%=103.62
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%=14.2/103.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.62 is what percent of 14.2

100%/x%=14.2/103.62
(100/x)*x=(14.2/103.62)*x       - we multiply both sides of the equation by x
100=0.13703918162517*x       - we divide both sides of the equation by (0.13703918162517) to get x
100/0.13703918162517=x
729.71830985916=x
x=729.71830985916

now we have:
103.62 is 729.71830985916% of 14.2