13.5 is what percent of 73.25 - 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 73.25 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 73.25, so we can write it down as 100%=73.25.
4. We know, that x% equals 13.5 of the output value, so we can write it down as x%=13.5.
5. Now we have two simple equations:
1) 100%=73.25
2) x%=13.5
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%=73.25/13.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.5 is what percent of 73.25

100%/x%=73.25/13.5
(100/x)*x=(73.25/13.5)*x       - we multiply both sides of the equation by x
100=5.4259259259259*x       - we divide both sides of the equation by (5.4259259259259) to get x
100/5.4259259259259=x
18.430034129693=x
x=18.430034129693

now we have:
13.5 is 18.430034129693% of 73.25