What is 9675 percent of 2.75 - 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 2.75 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 2.75 is 100%, so we can write it down as 2.75=100%.
4. We know, that x is 9675% of the output value, so we can write it down as x=9675%.
5. Now we have two simple equations:
1) 2.75=100%
2) x=9675%
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:
2.75/x=100%/9675%
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 9675% of 2.75

2.75/x=100/9675
(2.75/x)*x=(100/9675)*x       - we multiply both sides of the equation by x
2.75=0.010335917312661*x       - we divide both sides of the equation by (0.010335917312661) to get x
2.75/0.010335917312661=x
266.0625=x
x=266.0625

now we have:
9675% of 2.75=266.0625