1.66 is what percent of 7.4 - 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 7.4 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 7.4, so we can write it down as 100%=7.4.
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%=7.4
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%=7.4/1.66
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 7.4

100%/x%=7.4/1.66
(100/x)*x=(7.4/1.66)*x       - we multiply both sides of the equation by x
100=4.4578313253012*x       - we divide both sides of the equation by (4.4578313253012) to get x
100/4.4578313253012=x
22.432432432432=x
x=22.432432432432

now we have:
1.66 is 22.432432432432% of 7.4