60 is what percent of 252.28 - 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 252.28 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 252.28, so we can write it down as 100%=252.28.
4. We know, that x% equals 60 of the output value, so we can write it down as x%=60.
5. Now we have two simple equations:
1) 100%=252.28
2) x%=60
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%=252.28/60
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60 is what percent of 252.28

100%/x%=252.28/60
(100/x)*x=(252.28/60)*x       - we multiply both sides of the equation by x
100=4.2046666666667*x       - we divide both sides of the equation by (4.2046666666667) to get x
100/4.2046666666667=x
23.783098144918=x
x=23.783098144918

now we have:
60 is 23.783098144918% of 252.28