What is 10.77 percent of 3842.59 - 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 3842.59 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 3842.59 is 100%, so we can write it down as 3842.59=100%.
4. We know, that x is 10.77% of the output value, so we can write it down as x=10.77%.
5. Now we have two simple equations:
1) 3842.59=100%
2) x=10.77%
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:
3842.59/x=100%/10.77%
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 10.77% of 3842.59

3842.59/x=100/10.77
(3842.59/x)*x=(100/10.77)*x       - we multiply both sides of the equation by x
3842.59=9.2850510677809*x       - we divide both sides of the equation by (9.2850510677809) to get x
3842.59/9.2850510677809=x
413.846943=x
x=413.846943

now we have:
10.77% of 3842.59=413.846943