What is 96.666 percent of 3480 - 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 3480 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 3480 is 100%, so we can write it down as 3480=100%.
4. We know, that x is 96.666% of the output value, so we can write it down as x=96.666%.
5. Now we have two simple equations:
1) 3480=100%
2) x=96.666%
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:
3480/x=100%/96.666%
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 96.666% of 3480

3480/x=100/96.666
(3480/x)*x=(100/96.666)*x       - we multiply both sides of the equation by x
3480=1.0344898930337*x       - we divide both sides of the equation by (1.0344898930337) to get x
3480/1.0344898930337=x
3363.9768=x
x=3363.9768

now we have:
96.666% of 3480=3363.9768