43.79 is what percent of 66.39 - 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 66.39 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 66.39, so we can write it down as 100%=66.39.
4. We know, that x% equals 43.79 of the output value, so we can write it down as x%=43.79.
5. Now we have two simple equations:
1) 100%=66.39
2) x%=43.79
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%=66.39/43.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.79 is what percent of 66.39

100%/x%=66.39/43.79
(100/x)*x=(66.39/43.79)*x       - we multiply both sides of the equation by x
100=1.516099566111*x       - we divide both sides of the equation by (1.516099566111) to get x
100/1.516099566111=x
65.958728724205=x
x=65.958728724205

now we have:
43.79 is 65.958728724205% of 66.39