109 is what percent of 3 - 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 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, so we can write it down as 100%=3.
4. We know, that x% equals 109 of the output value, so we can write it down as x%=109.
5. Now we have two simple equations:
1) 100%=3
2) x%=109
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%=3/109
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109 is what percent of 3

100%/x%=3/109
(100/x)*x=(3/109)*x       - we multiply both sides of the equation by x
100=0.027522935779817*x       - we divide both sides of the equation by (0.027522935779817) to get x
100/0.027522935779817=x
3633.3333333333=x
x=3633.3333333333

now we have:
109 is 3633.3333333333% of 3