About Percentage & Finance Calculator
The loan figures use the standard amortising formula, where the monthly payment stays level while the split between interest and principal shifts across the term. That is why total interest, rather than the monthly number, is the figure worth comparing between two offers.
Work out percentages and percentage change, sale discounts and final prices, tip splits per person, and monthly loan or EMI payments with total interest — all in one place. It covers the everyday money maths that comes up while shopping, dining out, budgeting and comparing loans.
Switch between modes to answer 'what is X% of Y', 'how much do I save', 'what is each person's share' or 'what will this loan cost'. Percentage change is the one to double-check: 40 rising to 50 is a 25% increase, while 50 falling back to 40 is a 20% decrease.
Two percentage mistakes are common enough to be worth naming. The first is confusing a percentage change with a percentage point change: a rate moving from 2% to 3% is a rise of one percentage point and an increase of fifty percent, and both statements are true of the same movement. The second is assuming changes cancel — an item discounted 20% then raised 20% does not return to its original price, because the increase is calculated on the smaller figure. £100 becomes £80 and then £96.
Reversing a percentage is the operation people most often get backwards. To find the pre-tax figure inside a £120 total at 20% tax, you divide by 1.2 to get £100; subtracting 20% of £120 gives £96 and is simply wrong. The same applies to working out an original price from a sale price. Whenever you are undoing a percentage rather than applying one, the operation is division.
Common use cases
- Working out the real saving on a sale item, especially when discounts are stacked.
- Splitting a restaurant bill with a tip across an uneven group.
- Comparing two loan or finance offers on total cost rather than the advertised monthly payment.
- Backing out the pre-tax amount from an invoice total for expenses or bookkeeping.
- Checking a reported percentage change in a report or news story that sounds implausible.