1.05 is what percent of 3.49 - 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 3.49 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 3.49, so we can write it down as 100%=3.49.
4. We know, that x% equals 1.05 of the output value, so we can write it down as x%=1.05.
5. Now we have two simple equations:
1) 100%=3.49
2) x%=1.05
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%=3.49/1.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.05 is what percent of 3.49

100%/x%=3.49/1.05
(100/x)*x=(3.49/1.05)*x       - we multiply both sides of the equation by x
100=3.3238095238095*x       - we divide both sides of the equation by (3.3238095238095) to get x
100/3.3238095238095=x
30.085959885387=x
x=30.085959885387

now we have:
1.05 is 30.085959885387% of 3.49