What is 106.6666 percent of 160 - 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 160 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 160 is 100%, so we can write it down as 160=100%.
4. We know, that x is 106.6666% of the output value, so we can write it down as x=106.6666%.
5. Now we have two simple equations:
1) 160=100%
2) x=106.6666%
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:
160/x=100%/106.6666%
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 106.6666% of 160

160/x=100/106.6666
(160/x)*x=(100/106.6666)*x       - we multiply both sides of the equation by x
160=0.93750058593787*x       - we divide both sides of the equation by (0.93750058593787) to get x
160/0.93750058593787=x
170.66656=x
x=170.66656

now we have:
106.6666% of 160=170.66656