What is 83.3 percent of 66.6 - 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 66.6 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 66.6 is 100%, so we can write it down as 66.6=100%.
4. We know, that x is 83.3% of the output value, so we can write it down as x=83.3%.
5. Now we have two simple equations:
1) 66.6=100%
2) x=83.3%
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:
66.6/x=100%/83.3%
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 83.3% of 66.6

66.6/x=100/83.3
(66.6/x)*x=(100/83.3)*x       - we multiply both sides of the equation by x
66.6=1.2004801920768*x       - we divide both sides of the equation by (1.2004801920768) to get x
66.6/1.2004801920768=x
55.4778=x
x=55.4778

now we have:
83.3% of 66.6=55.4778