305.55 is what percent of 3.452 - 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 3.452 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 3.452, so we can write it down as 100%=3.452.
4. We know, that x% equals 305.55 of the output value, so we can write it down as x%=305.55.
5. Now we have two simple equations:
1) 100%=3.452
2) x%=305.55
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%=3.452/305.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 305.55 is what percent of 3.452

100%/x%=3.452/305.55
(100/x)*x=(3.452/305.55)*x       - we multiply both sides of the equation by x
100=0.011297659957454*x       - we divide both sides of the equation by (0.011297659957454) to get x
100/0.011297659957454=x
8851.3904982619=x
x=8851.3904982619

now we have:
305.55 is 8851.3904982619% of 3.452