13.5 is what percent of 4.225 - 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 4.225 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 4.225, so we can write it down as 100%=4.225.
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%=4.225
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%=4.225/13.5
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 4.225

100%/x%=4.225/13.5
(100/x)*x=(4.225/13.5)*x       - we multiply both sides of the equation by x
100=0.31296296296296*x       - we divide both sides of the equation by (0.31296296296296) to get x
100/0.31296296296296=x
319.52662721893=x
x=319.52662721893

now we have:
13.5 is 319.52662721893% of 4.225