54.2 is what percent of 1578.25 - 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 1578.25 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 1578.25, so we can write it down as 100%=1578.25.
4. We know, that x% equals 54.2 of the output value, so we can write it down as x%=54.2.
5. Now we have two simple equations:
1) 100%=1578.25
2) x%=54.2
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%=1578.25/54.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.2 is what percent of 1578.25

100%/x%=1578.25/54.2
(100/x)*x=(1578.25/54.2)*x       - we multiply both sides of the equation by x
100=29.119003690037*x       - we divide both sides of the equation by (29.119003690037) to get x
100/29.119003690037=x
3.4341834310154=x
x=3.4341834310154

now we have:
54.2 is 3.4341834310154% of 1578.25