3.66 is what percent of 3.75 - 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 3.75 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 3.75, so we can write it down as 100%=3.75.
4. We know, that x% equals 3.66 of the output value, so we can write it down as x%=3.66.
5. Now we have two simple equations:
1) 100%=3.75
2) x%=3.66
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%=3.75/3.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.66 is what percent of 3.75

100%/x%=3.75/3.66
(100/x)*x=(3.75/3.66)*x       - we multiply both sides of the equation by x
100=1.0245901639344*x       - we divide both sides of the equation by (1.0245901639344) to get x
100/1.0245901639344=x
97.6=x
x=97.6

now we have:
3.66 is 97.6% of 3.75