What is 4.16 percent of 266.45 - 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 266.45 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 266.45 is 100%, so we can write it down as 266.45=100%.
4. We know, that x is 4.16% of the output value, so we can write it down as x=4.16%.
5. Now we have two simple equations:
1) 266.45=100%
2) x=4.16%
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:
266.45/x=100%/4.16%
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 4.16% of 266.45

266.45/x=100/4.16
(266.45/x)*x=(100/4.16)*x       - we multiply both sides of the equation by x
266.45=24.038461538462*x       - we divide both sides of the equation by (24.038461538462) to get x
266.45/24.038461538462=x
11.08432=x
x=11.08432

now we have:
4.16% of 266.45=11.08432