What is 11.3 percent of 1.66 - 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 1.66 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 1.66 is 100%, so we can write it down as 1.66=100%.
4. We know, that x is 11.3% of the output value, so we can write it down as x=11.3%.
5. Now we have two simple equations:
1) 1.66=100%
2) x=11.3%
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:
1.66/x=100%/11.3%
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 11.3% of 1.66

1.66/x=100/11.3
(1.66/x)*x=(100/11.3)*x       - we multiply both sides of the equation by x
1.66=8.8495575221239*x       - we divide both sides of the equation by (8.8495575221239) to get x
1.66/8.8495575221239=x
0.18758=x
x=0.18758

now we have:
11.3% of 1.66=0.18758