12.75 is what percent of 54.19 - 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 54.19 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 54.19, so we can write it down as 100%=54.19.
4. We know, that x% equals 12.75 of the output value, so we can write it down as x%=12.75.
5. Now we have two simple equations:
1) 100%=54.19
2) x%=12.75
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%=54.19/12.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.75 is what percent of 54.19

100%/x%=54.19/12.75
(100/x)*x=(54.19/12.75)*x       - we multiply both sides of the equation by x
100=4.2501960784314*x       - we divide both sides of the equation by (4.2501960784314) to get x
100/4.2501960784314=x
23.528326259457=x
x=23.528326259457

now we have:
12.75 is 23.528326259457% of 54.19