3.29 is what percent of 2.89 - 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 2.89 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 2.89, so we can write it down as 100%=2.89.
4. We know, that x% equals 3.29 of the output value, so we can write it down as x%=3.29.
5. Now we have two simple equations:
1) 100%=2.89
2) x%=3.29
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%=2.89/3.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.29 is what percent of 2.89

100%/x%=2.89/3.29
(100/x)*x=(2.89/3.29)*x       - we multiply both sides of the equation by x
100=0.87841945288754*x       - we divide both sides of the equation by (0.87841945288754) to get x
100/0.87841945288754=x
113.84083044983=x
x=113.84083044983

now we have:
3.29 is 113.84083044983% of 2.89