2.166 is what percent of 5 - 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 5 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 5, so we can write it down as 100%=5.
4. We know, that x% equals 2.166 of the output value, so we can write it down as x%=2.166.
5. Now we have two simple equations:
1) 100%=5
2) x%=2.166
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%=5/2.166
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.166 is what percent of 5

100%/x%=5/2.166
(100/x)*x=(5/2.166)*x       - we multiply both sides of the equation by x
100=2.3084025854109*x       - we divide both sides of the equation by (2.3084025854109) to get x
100/2.3084025854109=x
43.32=x
x=43.32

now we have:
2.166 is 43.32% of 5