65.9 is what percent of 40.1 - 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 40.1 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 40.1, so we can write it down as 100%=40.1.
4. We know, that x% equals 65.9 of the output value, so we can write it down as x%=65.9.
5. Now we have two simple equations:
1) 100%=40.1
2) x%=65.9
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%=40.1/65.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.9 is what percent of 40.1

100%/x%=40.1/65.9
(100/x)*x=(40.1/65.9)*x       - we multiply both sides of the equation by x
100=0.60849772382398*x       - we divide both sides of the equation by (0.60849772382398) to get x
100/0.60849772382398=x
164.3391521197=x
x=164.3391521197

now we have:
65.9 is 164.3391521197% of 40.1