If 45% of A = 15% of B, what percentage of A is B?

Question: If 45% of A = 15% of B, what percentage of A is B?

Solution:
45% of A = 15% of B
⇒ (45/100) × A = (15/100) × B
⇒ 9A/20 = 3B/20
⇒ 9A = 3B
⇒ B = 9A/3
∴ B = 3A

Required percentage = (B/A) × 100%
= (3A/A) × 100%
= 3 × 100%
= 300%