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Basic Percentage Calculations




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Frequently Asked Questions

Formula: ((New − Old)/Old)×100.
Example: 50→75: ((75−50)/50)×100 = 50 %.

Interest on principal + interest on accumulated interest.
Formula: A = P(1 + r/n)nt.

Original = Final ÷ (1 + %Increase/100).
Example: 120 after 20 % increase → 120/1.2 = 100.

Multiply decimals: 0.10×0.20 = 2 %.

(∑value×weight)/∑weights. e.g. 80 %(w=0.4), 90 %(w=0.6) → 86 %.

|Experimental − Theoretical| / |Theoretical| × 100.

Discount = Original × (%/100).
Sale Price = Original − Discount.

Tip % = (Tip / Bill) × 100.

CAGR = (Ending/Beginning)1/Years − 1.

EAR = (1 + i/n)n − 1.

(1 + monthly)12 − 1.

Markup = (Selling − Cost)/Cost × 100;
Margin = (Selling − Cost)/Selling × 100.

The absolute difference between two percentages.

Fraction × 100. e.g. 3/4 → 75 %.

Decimal × 100. e.g. 0.085 → 8.5 %.

(Part/Whole) × 100. e.g. 5:8 → 62.5 %.

Translate words into equations, assign variables, and solve step by step.

((New − Old)/Old) × 100 yields negative if New < Old.

(Actual / Theoretical) × 100 measures reaction efficiency.

∛64= 4
82= 64
(3+5) × 2= 16

Use n√ for roots, ^ for powers, parentheses, and ×.