PERCENTAGE CALCULATOR — 5 MODES + FORMULAS EXPLAINED | 100% PRIVATE
100% Private: Sab calculations browser me hoti hain — koi data kahin nahi jata.
1. X% OF Y NIKALO
% of
=
—
Formula: (X ÷ 100) × Y — GST, discount, tip
2. X, Y KA KITNA % HAI
of
= ?%
—
Formula: (X ÷ Y) × 100 — marks, targets, share
3. % INCREASE / DECREASE
→
—
Formula: ((New−Old) ÷ Old) × 100 — salary, price change
4. % BADHAO YA GHATAO
—
Formula: V × (1 ± P/100) — GST add, discount lagana
5. % DIFFERENCE (2 values)
&
—
Formula: |A−B| ÷ ((A+B)/2) × 100 — comparison
BONUS: QUICK % TABLE (Mode 1 ke Y ka)
Value daalo — 5% se 50% tak ka table yahan banega
PERCENTAGE — COMPLETE GUIDE (2026)
Percentage Calculator Kya Hai?
Percentage Calculator ek free tool hai jo 5 sabse common percentage problems ek saath solve karta hai: X% of Y nikalna (GST/discount), X ka Y me kitna percent hona (marks/targets), percentage increase/decrease (salary/price change), value me % add/subtract (GST jodna, discount hatana), aur do values ka percentage difference (comparison). Har mode ke saath formula bhi likha rehta hai — sirf jawab nahi, method bhi samajh aata hai.
5 Modes Kab Kaunsa Use Karein
| Mode | Formula | Real Use |
|---|---|---|
| 1. X% of Y | (X ÷ 100) × Y | 18% GST nikalna, 30% discount ka amount, tip |
| 2. X is what % of Y | (X ÷ Y) × 100 | Marks (450/600 = 75%), target completion, share |
| 3. % change | ((New−Old) ÷ Old) × 100 | Salary hike, price rise, profit growth |
| 4. ±% apply | V × (1 ± P/100) | GST add karke final price, discount ke baad price |
| 5. % difference | |A−B| ÷ avg × 100 | Do dukaan ke daam, do offers compare |
Mode 3 vs 5 ka confusion sabse common hai: change (Mode 3) me old value denominator hota hai aur jawab directional hai (+/−); difference (Mode 5) me dono ka average denominator hota hai aur jawab hamesha positive. Time-series (pehle vs ab) ho to Mode 3, independent comparison ho to Mode 5.
Percentage Ke 6 Common Mistakes
- Successive discounts ko add karna: 30% + 20% off ≠ 50% off — actual 44% hota hai (0.7 × 0.8 = 0.56). Sale banners isi confusion pe bante hain.
- Change me new value se divide karna: 40K→46K hike ko 13% likhna — sahi 15% hai (divide by OLD 40K).
- % aur percentage points mix karna: 12% se 18% GST = 6pp change, par 50% relative change. News me dono mix hote hain.
- Reverse % me % se divide karna: GST-inclusive 1180 ka original = 1180 ÷ 1.18, ÷ 0.18 nahi.
- % of % galat samajhna: 50% of 50% = 25% (multiply hota hai, add nahi).
- Sign bhoolna: Decrease hamesha negative hota hai — reporting me "−10%" hi likho, sirf "10%" ambiguous hai.
Mental Math Shortcuts — Bina Calculator
- 10% = decimal shift: 10% of 450 = 45. Ek digit left shift, bas.
- Tod-fod: 18% = 10% + 8% → 45 + 36 = 81. Ya 18% = 20% − 2% = 90 − 9 = 81.
- Fractions yaad rakho: 12.5% = 1/8, 25% = 1/4, 33.33% = 1/3, 16.66% = 1/6.
- Flip trick: "X% of Y" = "Y% of X" — 8% of 50 = 50% of 8 = 4. Mushkil ko easy me badlo.
- Reverse: Agar 20% = 80 hai, to 100% = 400 (80 × 5).
Indian Exam Context — Marks, CGPA, Cut-offs
Board/college results me percentage sabse common need hai: total obtained ÷ total maximum × 100. Kuch aur practical conversions: CBSE CGPA → % = CGPA × 9.5 (8.6 CGPA = 81.7%); grade points wale systems me apne university ka official formula dekho. Government form me "percentage" field me sirf rounded 2-decimal value likho (74.58%), aur aggregate mangne par saare semesters ka combined calculation karo — individual semester ka average nahi (weighted totals me difference aata hai).
Frequently Asked Questions (FAQ)
Multiply Y by X and divide by 100: (X ÷ 100) × Y. Example: 18% of 2500 = 0.18 × 2500 = 450. This is the GST, tip and discount calculation — Mode 1 in this tool. A quick mental shortcut: 10% of a number is just the decimal shifted one place left, so 18% = 10% + 8% computed mentally in two easy steps.
Percentage CHANGE compares an old value to a new one and is directional (increase or decrease) — the old value is the denominator. Percentage DIFFERENCE compares two values with no old/new relationship, using their average as the denominator. Use change for prices over time, salary hikes, profit growth. Use difference when comparing two independent items, like prices at two shops. Mode 3 does change, Mode 5 does difference in this tool.
Formula: ((New − Old) ÷ Old) × 100. Example: salary went from ₹40,000 to ₹46,000 — ((46000 − 40000) ÷ 40000) × 100 = 15% increase. If the new value is lower, the result is negative — a decrease. The most common mistake is dividing by the NEW value instead of the old one, which under-reports decreases and over-reports increases. Always divide by the ORIGINAL value.
No! This is the classic shopping trap. Successive discounts multiply, they do not add: 30% off leaves 70% of the price, then 20% off that leaves 80% of 70% = 56% of the original — so the total discount is 44%, not 50%. Big "50%+20%" sale banners exploit exactly this confusion — always compute the final price, never add the percentages.
Percentage points (pp) measure the difference between two percentages directly. If GST goes from 12% to 18%, that is a 6 percentage-point increase — but a 50% relative increase ((18−12)÷12). News headlines often blur these: "inflation doubled from 4% to 8%" is 4pp but 100% change. Knowing which one is meant matters in finance, taxes and exams alike.
No — everything calculates locally in your browser with JavaScript. Nothing is sent to any server, saved, or logged. The tool works offline after the page loads.
In Indian exams, percentage = (marks obtained ÷ total marks) × 100. For multiple subjects, sum all obtained marks and divide by the total of all subjects — 450/600 = 75%. Note CGPA systems differ: CBSE CGPA × 9.5 gives percentage, while universities often use (CGPA − 0.75) × 10 or a similar formula — always check your institution's official conversion. Mode 2 of this tool does the marks calculation directly.
If you know the final price after a percentage change, work backwards: original = final ÷ (1 ± rate). Example: after 18% GST the bill is ₹1,180 — original = 1180 ÷ 1.18 = ₹1,000. After a 20% discount the price is ₹800 — original = 800 ÷ 0.80 = ₹1,000. The trap: people divide by the percentage number instead of the multiplier (1180 ÷ 0.18 is meaningless). Use the multiplier form every time.