103.05 is what percent of 3433.09 - 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 3433.09 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 3433.09, so we can write it down as 100%=3433.09.
4. We know, that x% equals 103.05 of the output value, so we can write it down as x%=103.05.
5. Now we have two simple equations:
1) 100%=3433.09
2) x%=103.05
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%=3433.09/103.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.05 is what percent of 3433.09

100%/x%=3433.09/103.05
(100/x)*x=(3433.09/103.05)*x       - we multiply both sides of the equation by x
100=33.314798641436*x       - we divide both sides of the equation by (33.314798641436) to get x
100/33.314798641436=x
3.0016690503308=x
x=3.0016690503308

now we have:
103.05 is 3.0016690503308% of 3433.09