305.55 is what percent of 3452.3 - 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 3452.3 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 3452.3, so we can write it down as 100%=3452.3.
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%=3452.3
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%=3452.3/305.55
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 3452.3

100%/x%=3452.3/305.55
(100/x)*x=(3452.3/305.55)*x       - we multiply both sides of the equation by x
100=11.298641793487*x       - we divide both sides of the equation by (11.298641793487) to get x
100/11.298641793487=x
8.8506213249138=x
x=8.8506213249138

now we have:
305.55 is 8.8506213249138% of 3452.3