13.5 is what percent of 563.25 - 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 563.25 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 563.25, so we can write it down as 100%=563.25.
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%=563.25
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%=563.25/13.5
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 563.25

100%/x%=563.25/13.5
(100/x)*x=(563.25/13.5)*x       - we multiply both sides of the equation by x
100=41.722222222222*x       - we divide both sides of the equation by (41.722222222222) to get x
100/41.722222222222=x
2.3968042609854=x
x=2.3968042609854

now we have:
13.5 is 2.3968042609854% of 563.25