65.86 is what percent of 548.25 - 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 548.25 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 548.25, so we can write it down as 100%=548.25.
4. We know, that x% equals 65.86 of the output value, so we can write it down as x%=65.86.
5. Now we have two simple equations:
1) 100%=548.25
2) x%=65.86
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%=548.25/65.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.86 is what percent of 548.25

100%/x%=548.25/65.86
(100/x)*x=(548.25/65.86)*x       - we multiply both sides of the equation by x
100=8.3244761615548*x       - we divide both sides of the equation by (8.3244761615548) to get x
100/8.3244761615548=x
12.012767897857=x
x=12.012767897857

now we have:
65.86 is 12.012767897857% of 548.25