13.5 is what percent of 2.4 - 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 2.4 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 2.4, so we can write it down as 100%=2.4.
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%=2.4
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%=2.4/13.5
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 2.4

100%/x%=2.4/13.5
(100/x)*x=(2.4/13.5)*x       - we multiply both sides of the equation by x
100=0.17777777777778*x       - we divide both sides of the equation by (0.17777777777778) to get x
100/0.17777777777778=x
562.5=x
x=562.5

now we have:
13.5 is 562.5% of 2.4