How do I calculate marks percentage?
Divide marks obtained by total marks and multiply by 100. For example, 420 out of 500 is 84%. Check the institution’s own grade and rounding rules separately.
Marks, Money & Daily Use calculator
Percentage Calculator India
Solve common percentage questions for marks, discounts, salary changes, rent or EMI share, GST checks, profit or loss, reverse percentage, and percentage points.
Interactive calculator
Choose the percentage question
Calculate marks, discounts, salary changes, rent or EMI share, GST amounts, profit or loss, and percentage points without mixing up the formulas.
What to do next
Continue your decision
Formula, example, assumptions, and FAQs — open any section for the detail.
Formula
Percentage amount, share, and reverse percentage
X% of Y = X ÷ 100 × Y · Part as % of whole = part ÷ whole × 100 · Whole = known part × 100 ÷ known %Use the first formula for a rupee amount, the second for rent, EMI, marks, or another share, and the third when reconstructing an original amount. The denominator or known percentage must be above zero.
Percentage increase or decrease
Percentage change = (new value − old value) ÷ old value × 100The old value is the base. Salary moving from ₹30,000 to ₹36,000 is a 20% increase. Reversing the values answers a different question.
Discount and final price
Savings = original price × discount ÷ 100 · Final price = original price − savingsA ₹2,000 item at 15% off saves ₹300 and costs ₹1,700 before any separate delivery or tax treatment.
Marks percentage
Marks percentage = marks obtained ÷ total marks × 100420 out of 500 is 84%. This arithmetic result does not decide grade, division, eligibility, moderation, or institutional rounding rules.
Profit or loss percentage on cost
Profit or loss % = |selling price − cost price| ÷ cost price × 100Cost ₹800 and selling price ₹1,000 gives 25% profit on cost. This is markup on cost, not net profit margin on sales.
Percentage points and relative change
Percentage-point change = new % − old % · Relative change = point change ÷ old % × 100Moving from 60% to 75% is an increase of 15 percentage points, but a 25% relative increase. Relative change is not defined when the old percentage is zero.
Worked example
Examples for salary, shopping, marks, and business
A user checks several daily questions: ₹8,000 rent on ₹25,000 take-home salary, an 18% amount on ₹1,000, salary from ₹30,000 to ₹36,000, 15% off ₹2,000, 420 marks out of 500, cost ₹800 versus selling ₹1,000, and a rate moving from 60% to 75%.
Calculation:₹8,000 ÷ ₹25,000 × 100 = 32%; 18 ÷ 100 × ₹1,000 = ₹180; (₹36,000 − ₹30,000) ÷ ₹30,000 × 100 = 20%; ₹2,000 − 15% = ₹1,700; 420 ÷ 500 × 100 = 84%; ₹200 profit ÷ ₹800 cost × 100 = 25%; 75% − 60% = 15 percentage points and 15 ÷ 60 × 100 = 25% relative increase.
Result:Each answer uses a different base. The calculator explains that ₹8,000 rent is 32% of take-home salary and may feel tight with other fixed expenses, while the salary hike still needs an in-hand salary check and the discount should be judged by the ₹300 saving and ₹1,700 final price.
Assumptions
- Values being compared use the same unit and time period.
- Rent, EMI, and expense shares use monthly take-home salary received after payroll deductions, not annual CTC.
- Percentage change uses the old value as its denominator.
- Discount is applied once to the original price; delivery fees and separate tax treatment are not added.
- Marks obtained cannot exceed total marks in this version.
- Profit or loss percentage uses cost price as the base and excludes other business costs.
- Percentage-point inputs are limited to 0% through 100% for normal rates and shares.
- The result is arithmetic; grade, tax, payroll, pricing, and affordability rules must be checked in the relevant calculator or source.
Common mistakes
- Using CTC instead of take-home salary for rent, EMI, or monthly expense shares.
- Dividing by the part instead of the whole when finding a percentage share.
- Using the new value as the base for percentage change.
- Calling a 60% to 75% move a 15% increase instead of 15 percentage points and 25% relative increase.
- Entering a 15% discount as the remaining percentage in reverse mode; after 15% off, 85% remains.
- Assuming a 10% discount followed by a 10% increase returns to the original price.
- Treating profit percentage on cost as profit margin on selling price.
- Treating GST as profit or assuming GST share of an inclusive bill equals the stated GST rate.
Accuracy notes
Calculations are deterministic and percentages are rounded to at most two decimal places. Money is shown in Indian number formatting with paise when needed. Results depend on choosing the correct base value; policy, grade, tax, lender, employer, and affordability rules are not inferred.
Frequently asked questions
Is 30% rent or EMI always affordable?
No. A 30–40% share of take-home salary can feel tight when other EMIs, family support, healthcare, travel, or savings needs are high. Use it as a prompt to check the complete monthly budget, not as a universal rule.
Does a 20% salary hike mean 20% more in-hand salary?
Not necessarily. The hike may apply to gross, fixed, or total compensation, while tax, PF, variable pay, and deductions can change the take-home increase. Check the revised salary breakup.
How do I find the original price after a discount?
Use the percentage that remains. After 15% off, the final price is 85% of the original. If ₹1,700 is 85%, the original is ₹1,700 × 100 ÷ 85 = ₹2,000.
What is the difference between percentage points and percentage change?
Percentage points are the direct difference between two percentages. Relative percentage change divides that difference by the old percentage. From 60% to 75% is +15 percentage points and +25% relative change.
Is profit percentage the same as profit margin?
No. This mode calculates profit or loss as a percentage of cost price. Profit margin normally uses selling price as the base and can differ. Neither figure is net profit unless all costs are included.
Can I use the percentage result as a GST calculation?
Use the GST context for a quick amount check, then use the GST Calculator for inclusive versus exclusive pricing and CGST/SGST or IGST split. GST rates and compliance treatment must be verified separately.
This calculator provides arithmetic results and general planning prompts only. It is not financial, tax, employment, education, legal, lending, pricing, or investment advice. Verify source figures and applicable rules before making a commitment.Read the full disclaimer.