1.66 is what percent of 8.26 - 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 8.26 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 8.26, so we can write it down as 100%=8.26.
4. We know, that x% equals 1.66 of the output value, so we can write it down as x%=1.66.
5. Now we have two simple equations:
1) 100%=8.26
2) x%=1.66
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%=8.26/1.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.66 is what percent of 8.26

100%/x%=8.26/1.66
(100/x)*x=(8.26/1.66)*x       - we multiply both sides of the equation by x
100=4.9759036144578*x       - we divide both sides of the equation by (4.9759036144578) to get x
100/4.9759036144578=x
20.096852300242=x
x=20.096852300242

now we have:
1.66 is 20.096852300242% of 8.26