57.3 is what percent of 282.7 - 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 282.7 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 282.7, so we can write it down as 100%=282.7.
4. We know, that x% equals 57.3 of the output value, so we can write it down as x%=57.3.
5. Now we have two simple equations:
1) 100%=282.7
2) x%=57.3
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%=282.7/57.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.3 is what percent of 282.7

100%/x%=282.7/57.3
(100/x)*x=(282.7/57.3)*x       - we multiply both sides of the equation by x
100=4.9336823734729*x       - we divide both sides of the equation by (4.9336823734729) to get x
100/4.9336823734729=x
20.268836222144=x
x=20.268836222144

now we have:
57.3 is 20.268836222144% of 282.7