3.55 is what percent of 11.05 - 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 11.05 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 11.05, so we can write it down as 100%=11.05.
4. We know, that x% equals 3.55 of the output value, so we can write it down as x%=3.55.
5. Now we have two simple equations:
1) 100%=11.05
2) x%=3.55
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%=11.05/3.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.55 is what percent of 11.05

100%/x%=11.05/3.55
(100/x)*x=(11.05/3.55)*x       - we multiply both sides of the equation by x
100=3.112676056338*x       - we divide both sides of the equation by (3.112676056338) to get x
100/3.112676056338=x
32.126696832579=x
x=32.126696832579

now we have:
3.55 is 32.126696832579% of 11.05