What is 666.5 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 666.5% of the output value, so we can write it down as x=666.5%.
5. Now we have two simple equations:
1) 100=100%
2) x=666.5%
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%/666.5%
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 666.5% of 100

100/x=100/666.5
(100/x)*x=(100/666.5)*x       - we multiply both sides of the equation by x
100=0.15003750937734*x       - we divide both sides of the equation by (0.15003750937734) to get x
100/0.15003750937734=x
666.5=x
x=666.5

now we have:
666.5% of 100=666.5