What is 1105 percent of 3.86 - 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 3.86 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 3.86 is 100%, so we can write it down as 3.86=100%.
4. We know, that x is 1105% of the output value, so we can write it down as x=1105%.
5. Now we have two simple equations:
1) 3.86=100%
2) x=1105%
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:
3.86/x=100%/1105%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1105% of 3.86

3.86/x=100/1105
(3.86/x)*x=(100/1105)*x       - we multiply both sides of the equation by x
3.86=0.090497737556561*x       - we divide both sides of the equation by (0.090497737556561) to get x
3.86/0.090497737556561=x
42.653=x
x=42.653

now we have:
1105% of 3.86=42.653