1.2 is what percent of 35.49 - 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 35.49 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 35.49, so we can write it down as 100%=35.49.
4. We know, that x% equals 1.2 of the output value, so we can write it down as x%=1.2.
5. Now we have two simple equations:
1) 100%=35.49
2) x%=1.2
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%=35.49/1.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.2 is what percent of 35.49

100%/x%=35.49/1.2
(100/x)*x=(35.49/1.2)*x       - we multiply both sides of the equation by x
100=29.575*x       - we divide both sides of the equation by (29.575) to get x
100/29.575=x
3.3812341504649=x
x=3.3812341504649

now we have:
1.2 is 3.3812341504649% of 35.49