105.74 is what percent of 808 - 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 808 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 808, so we can write it down as 100%=808.
4. We know, that x% equals 105.74 of the output value, so we can write it down as x%=105.74.
5. Now we have two simple equations:
1) 100%=808
2) x%=105.74
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%=808/105.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.74 is what percent of 808

100%/x%=808/105.74
(100/x)*x=(808/105.74)*x       - we multiply both sides of the equation by x
100=7.6413845280878*x       - we divide both sides of the equation by (7.6413845280878) to get x
100/7.6413845280878=x
13.086633663366=x
x=13.086633663366

now we have:
105.74 is 13.086633663366% of 808