3.66 is what percent of 3.45 - 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 3.45 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 3.45, so we can write it down as 100%=3.45.
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%=3.45
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%=3.45/3.66
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 3.45

100%/x%=3.45/3.66
(100/x)*x=(3.45/3.66)*x       - we multiply both sides of the equation by x
100=0.94262295081967*x       - we divide both sides of the equation by (0.94262295081967) to get x
100/0.94262295081967=x
106.08695652174=x
x=106.08695652174

now we have:
3.66 is 106.08695652174% of 3.45