43.49 is what percent of 66.9 - 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 66.9 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 66.9, so we can write it down as 100%=66.9.
4. We know, that x% equals 43.49 of the output value, so we can write it down as x%=43.49.
5. Now we have two simple equations:
1) 100%=66.9
2) x%=43.49
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%=66.9/43.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.49 is what percent of 66.9

100%/x%=66.9/43.49
(100/x)*x=(66.9/43.49)*x       - we multiply both sides of the equation by x
100=1.538284663141*x       - we divide both sides of the equation by (1.538284663141) to get x
100/1.538284663141=x
65.007473841555=x
x=65.007473841555

now we have:
43.49 is 65.007473841555% of 66.9