109.16 is what percent of 3403.45 - 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 3403.45 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 3403.45, so we can write it down as 100%=3403.45.
4. We know, that x% equals 109.16 of the output value, so we can write it down as x%=109.16.
5. Now we have two simple equations:
1) 100%=3403.45
2) x%=109.16
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%=3403.45/109.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.16 is what percent of 3403.45

100%/x%=3403.45/109.16
(100/x)*x=(3403.45/109.16)*x       - we multiply both sides of the equation by x
100=31.178545254672*x       - we divide both sides of the equation by (31.178545254672) to get x
100/31.178545254672=x
3.2073337348867=x
x=3.2073337348867

now we have:
109.16 is 3.2073337348867% of 3403.45