1.66 is what percent of 18.71 - 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 18.71 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 18.71, so we can write it down as 100%=18.71.
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%=18.71
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%=18.71/1.66
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 18.71

100%/x%=18.71/1.66
(100/x)*x=(18.71/1.66)*x       - we multiply both sides of the equation by x
100=11.271084337349*x       - we divide both sides of the equation by (11.271084337349) to get x
100/11.271084337349=x
8.8722608230893=x
x=8.8722608230893

now we have:
1.66 is 8.8722608230893% of 18.71