66.7 is what percent of 800 - 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 800 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 800, so we can write it down as 100%=800.
4. We know, that x% equals 66.7 of the output value, so we can write it down as x%=66.7.
5. Now we have two simple equations:
1) 100%=800
2) x%=66.7
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%=800/66.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.7 is what percent of 800

100%/x%=800/66.7
(100/x)*x=(800/66.7)*x       - we multiply both sides of the equation by x
100=11.994002998501*x       - we divide both sides of the equation by (11.994002998501) to get x
100/11.994002998501=x
8.3375=x
x=8.3375

now we have:
66.7 is 8.3375% of 800