$100=\frac{n+81}{22}$

Step 1 ：Multiply both sides of the equation by 22 to get rid of the denominator on the right side: \(100 \times 22 = \frac{n+81}{22} \times 22\)

Step 2 ：Subtract 81 from both sides to isolate n: \(2200 - 81 = n\)

Step 3 ：Simplify the right side to find the value of n: \(n = 2119\)

Step 4 ：Final Answer: \(n = \boxed{2119}\)