If P is a positive number and P% of P is 36, then P is equal to

Concept

A percentage statement “x% of y” means (x/100) × y.

When the same quantity P appears as both the rate and the base, the equation is P2/100 = the given amount. Because P represents a percentage value in this aptitude context, use the non-negative root.

Application

1. Translate the statement: (P/100) × P = 36.

2. Multiply both sides by 100: P2 = 3600.

3. Take the non-negative square root: P = √3600 = 60.

Cross-check

Substitution gives 60% of 60 = 0.60 × 60 = 36, which reproduces the stated amount.

Therefore, P = 60.