1.66 is what percent of 13.7 - 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 13.7 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 13.7, so we can write it down as 100%=13.7.
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%=13.7
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%=13.7/1.66
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 13.7

100%/x%=13.7/1.66
(100/x)*x=(13.7/1.66)*x       - we multiply both sides of the equation by x
100=8.2530120481928*x       - we divide both sides of the equation by (8.2530120481928) to get x
100/8.2530120481928=x
12.116788321168=x
x=12.116788321168

now we have:
1.66 is 12.116788321168% of 13.7