What is 66.57 percent of 100 - 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 100 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 is 100%, so we can write it down as 100=100%.
4. We know, that x is 66.57% of the output value, so we can write it down as x=66.57%.
5. Now we have two simple equations:
1) 100=100%
2) x=66.57%
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=100%/66.57%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 66.57% of 100

100/x=100/66.57
(100/x)*x=(100/66.57)*x       - we multiply both sides of the equation by x
100=1.5021781583296*x       - we divide both sides of the equation by (1.5021781583296) to get x
100/1.5021781583296=x
66.57=x
x=66.57

now we have:
66.57% of 100=66.57