4.2 is what percent of 66.5 - 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 66.5 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 66.5, so we can write it down as 100%=66.5.
4. We know, that x% equals 4.2 of the output value, so we can write it down as x%=4.2.
5. Now we have two simple equations:
1) 100%=66.5
2) x%=4.2
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%=66.5/4.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.2 is what percent of 66.5

100%/x%=66.5/4.2
(100/x)*x=(66.5/4.2)*x       - we multiply both sides of the equation by x
100=15.833333333333*x       - we divide both sides of the equation by (15.833333333333) to get x
100/15.833333333333=x
6.3157894736842=x
x=6.3157894736842

now we have:
4.2 is 6.3157894736842% of 66.5