592.8 is what percent of 1425.2 - 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 1425.2 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 1425.2, so we can write it down as 100%=1425.2.
4. We know, that x% equals 592.8 of the output value, so we can write it down as x%=592.8.
5. Now we have two simple equations:
1) 100%=1425.2
2) x%=592.8
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%=1425.2/592.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 592.8 is what percent of 1425.2

100%/x%=1425.2/592.8
(100/x)*x=(1425.2/592.8)*x       - we multiply both sides of the equation by x
100=2.4041835357625*x       - we divide both sides of the equation by (2.4041835357625) to get x
100/2.4041835357625=x
41.594162222846=x
x=41.594162222846

now we have:
592.8 is 41.594162222846% of 1425.2