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Percentage Calculations: A Practical Guide
Percentages are one of the most practical mathematical concepts in everyday life — from computing discounts at the mall to understanding your income tax rate, VAT, loan interest, and salary increases. Understanding how to work with percentages accurately helps you make better financial decisions and verify computations on your payslip, receipts, and bills.
The Three Core Percentage Formulas
| Question Type | Formula | Example |
|---|---|---|
| What is X% of Y? | Result = (X ÷ 100) × Y | What is 12% of ₱5,000? → ₱600 |
| X is what percent of Y? | Percent = (X ÷ Y) × 100 | 600 is what % of 5,000? → 12% |
| X is Y% of what? | Total = X ÷ (Y ÷ 100) | 600 is 12% of what? → 5,000 |
| Percentage change (increase/decrease) | % Change = [(New − Old) ÷ Old] × 100 | From ₱5,000 to ₱5,600 → +12% increase |
Common Percentage Computations for Filipinos
Here are real-world scenarios where percentage calculations are used daily in the Philippines:
Shopping Discounts
A ₱2,500 item is 30% off. Discount = 2,500 × 0.30 = ₱750. Sale price = ₱2,500 − ₱750 = ₱1,750
VAT Computation
A service costs ₱10,000 + 12% VAT. VAT = 10,000 × 0.12 = ₱1,200. Total = ₱11,200
Salary Increase
Current salary ₱35,000, 15% increase. Increase = 35,000 × 0.15 = ₱5,250. New salary = ₱40,250
SSS Contribution
Monthly salary ₱25,000. SSS employee share = 4.5% = 25,000 × 0.045 = ₱1,125/month
Senior Citizen and PWD Discounts in the Philippines
Two important percentage-based discounts in the Philippines:
- Senior Citizens (60+): 20% discount on medicines, medical services, restaurants, hotels, transportation + VAT exemption. If an item costs ₱500 (VAT-inclusive), the senior citizen pays: ₱500 ÷ 1.12 = ₱446.43 (ex-VAT), then × 0.80 = ₱357.14
- Persons with Disabilities (PWD): Also entitled to 20% discount + VAT exemption under RA 9442 (as amended by RA 10754) on the same categories as senior citizens. Same computation method applies.
Note: These discounts apply only to purchases for the senior citizen/PWD's personal use, not for commercial purposes.
Percentage Points vs. Percentage Change
A common source of confusion: the difference between percentage points and percent change.
If your loan interest rate goes from 8% to 10%, the change is:
- Percentage points: 10% − 8% = 2 percentage points (absolute difference)
- Percent change: (10 − 8) ÷ 8 × 100 = 25% increase in interest rate
Economists, the BSP, and financial reporters often use "percentage points" to avoid ambiguity when describing changes in rates.
Frequently Asked Questions — Percentages
How do I compute the selling price with VAT included?
To add 12% VAT to a price: VAT-Inclusive Price = Original Price × 1.12. Example: A service worth ₱10,000 becomes ₱11,200 with VAT. To reverse it (extract VAT from a VAT-inclusive price): Original Price = Total ÷ 1.12, and VAT amount = Total − Original Price.
How do I compute a discount and the final sale price?
For a discount: Discount Amount = Original Price × (Discount% ÷ 100). Sale Price = Original Price − Discount Amount. A quicker formula: Sale Price = Original Price × (1 − Discount%/100). Example: 30% off ₱1,500 → Sale Price = ₱1,500 × 0.70 = ₱1,050.
How do banks compute interest on savings accounts?
Philippine banks typically state savings account interest as annual interest rate (AER). For simple interest: Interest = Principal × Rate × Time. For ₱100,000 at 1.5% per year for 6 months: Interest = 100,000 × 0.015 × (6/12) = ₱750. Most banks compound interest quarterly or annually, which results in slightly higher earnings due to compounding.
What is a passing percentage for Philippine board/civil service exams?
The Professional Regulation Commission (PRC) generally requires a passing average of 75% for most Philippine board examinations, with no subject grade below 50%. For the Civil Service Examination (CSE), the passing score is also 80% for the professional level and 80% for the subprofessional level. Some boards like Medicine (Physician Licensure Exam) require 75% overall with no subject below 50%.