What is 3.5 percent of 266.86 - 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 266.86 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 266.86 is 100%, so we can write it down as 266.86=100%.
4. We know, that x is 3.5% of the output value, so we can write it down as x=3.5%.
5. Now we have two simple equations:
1) 266.86=100%
2) x=3.5%
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:
266.86/x=100%/3.5%
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 3.5% of 266.86

266.86/x=100/3.5
(266.86/x)*x=(100/3.5)*x       - we multiply both sides of the equation by x
266.86=28.571428571429*x       - we divide both sides of the equation by (28.571428571429) to get x
266.86/28.571428571429=x
9.3401=x
x=9.3401

now we have:
3.5% of 266.86=9.3401