What is 96.15 percent of 2155 - 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 2155 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 2155 is 100%, so we can write it down as 2155=100%.
4. We know, that x is 96.15% of the output value, so we can write it down as x=96.15%.
5. Now we have two simple equations:
1) 2155=100%
2) x=96.15%
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:
2155/x=100%/96.15%
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 96.15% of 2155

2155/x=100/96.15
(2155/x)*x=(100/96.15)*x       - we multiply both sides of the equation by x
2155=1.0400416016641*x       - we divide both sides of the equation by (1.0400416016641) to get x
2155/1.0400416016641=x
2072.0325=x
x=2072.0325

now we have:
96.15% of 2155=2072.0325