1.19 is what 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 100% equals 1.66, so we can write it down as 100%=1.66.
4. We know, that x% equals 1.19 of the output value, so we can write it down as x%=1.19.
5. Now we have two simple equations:
1) 100%=1.66
2) x%=1.19
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%=1.66/1.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.19 is what percent of 1.66

100%/x%=1.66/1.19
(100/x)*x=(1.66/1.19)*x       - we multiply both sides of the equation by x
100=1.3949579831933*x       - we divide both sides of the equation by (1.3949579831933) to get x
100/1.3949579831933=x
71.686746987952=x
x=71.686746987952

now we have:
1.19 is 71.686746987952% of 1.66