105.59 is what percent of 3016.75 - 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 3016.75 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 3016.75, so we can write it down as 100%=3016.75.
4. We know, that x% equals 105.59 of the output value, so we can write it down as x%=105.59.
5. Now we have two simple equations:
1) 100%=3016.75
2) x%=105.59
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%=3016.75/105.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.59 is what percent of 3016.75

100%/x%=3016.75/105.59
(100/x)*x=(3016.75/105.59)*x       - we multiply both sides of the equation by x
100=28.570413864949*x       - we divide both sides of the equation by (28.570413864949) to get x
100/28.570413864949=x
3.5001243059584=x
x=3.5001243059584

now we have:
105.59 is 3.5001243059584% of 3016.75