3.32 is what percent of 3.69 - 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 3.69 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 3.69, so we can write it down as 100%=3.69.
4. We know, that x% equals 3.32 of the output value, so we can write it down as x%=3.32.
5. Now we have two simple equations:
1) 100%=3.69
2) x%=3.32
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%=3.69/3.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.32 is what percent of 3.69

100%/x%=3.69/3.32
(100/x)*x=(3.69/3.32)*x       - we multiply both sides of the equation by x
100=1.1114457831325*x       - we divide both sides of the equation by (1.1114457831325) to get x
100/1.1114457831325=x
89.972899728997=x
x=89.972899728997

now we have:
3.32 is 89.972899728997% of 3.69