1. **State the problem:** We are given that 22% of a rope is 55 metres long, and we need to find the full length of the rope. 2. **Formula used:** Percentage means part of a whole. If $p\%$ of the rope is $L_p$ metres, and the full length is $L$, then: $$\frac{p}{100} \times L = L_p$$ 3. **Apply the values:** Here, $p=22$, $L_p=55$, so: $$\frac{22}{100} \times L = 55$$ 4. **Solve for $L$:** $$L = \frac{55 \times 100}{22}$$ 5. **Calculate:** $$L = \frac{5500}{22} = 250$$ 6. **Answer:** The full length of the rope is **250 metres**.