65.94 is what percent of 438.6 - 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 438.6 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 438.6, so we can write it down as 100%=438.6.
4. We know, that x% equals 65.94 of the output value, so we can write it down as x%=65.94.
5. Now we have two simple equations:
1) 100%=438.6
2) x%=65.94
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%=438.6/65.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.94 is what percent of 438.6

100%/x%=438.6/65.94
(100/x)*x=(438.6/65.94)*x       - we multiply both sides of the equation by x
100=6.6515013648772*x       - we divide both sides of the equation by (6.6515013648772) to get x
100/6.6515013648772=x
15.034199726402=x
x=15.034199726402

now we have:
65.94 is 15.034199726402% of 438.6