What is 2.35 percent of 266.6 - 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 266.6 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 266.6 is 100%, so we can write it down as 266.6=100%.
4. We know, that x is 2.35% of the output value, so we can write it down as x=2.35%.
5. Now we have two simple equations:
1) 266.6=100%
2) x=2.35%
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:
266.6/x=100%/2.35%
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 2.35% of 266.6

266.6/x=100/2.35
(266.6/x)*x=(100/2.35)*x       - we multiply both sides of the equation by x
266.6=42.553191489362*x       - we divide both sides of the equation by (42.553191489362) to get x
266.6/42.553191489362=x
6.2651=x
x=6.2651

now we have:
2.35% of 266.6=6.2651