13.49 is what percent of 72.45 - 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 72.45 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 72.45, so we can write it down as 100%=72.45.
4. We know, that x% equals 13.49 of the output value, so we can write it down as x%=13.49.
5. Now we have two simple equations:
1) 100%=72.45
2) x%=13.49
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%=72.45/13.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.49 is what percent of 72.45

100%/x%=72.45/13.49
(100/x)*x=(72.45/13.49)*x       - we multiply both sides of the equation by x
100=5.3706449221646*x       - we divide both sides of the equation by (5.3706449221646) to get x
100/5.3706449221646=x
18.619737750173=x
x=18.619737750173

now we have:
13.49 is 18.619737750173% of 72.45