What is 40% of 120?
The answer is 48.
Result Explanation
40% of 120 = 48. If you are subtracting this as a discount, the discounted total is 120 − 48 = 72. If you are allocating, 48 is the allocated amount and 72 is the remainder.
Quick check: compare 120 × 0.4 with (40 ÷ 100) × 120; both should equal 48.
How It Works
Step 1: Express 40% as a decimal: 40 ÷ 100 = 0.4.
Step 2: Multiply by 120: 0.4 × 120 = 48.
Full formula: (40 ÷ 100) × 120 = 48
Fraction shortcut: 40% = 2/5; (2/5) × 120 = 48.
Ten-percent ladder: 10% of 120 is 12; 40% = 4 × 12 = 48.
Split base: 40% of 100 + 40% of 20 = 40 + 8 = 48.
Double sixty: 40% of 60 = 24; for 120, 2 × 24 = 48.
Strategy & Insight
Compare with one hundred: forty percent of one hundred is 40, and the extra twenty units in the base add 8 to the slice at the same rate—four tenths per unit. That “plus twenty, plus eight” pattern mirrors how you extended from one hundred to one hundred ten, but with a rounder bump.
At a fixed forty percent rate, each one-unit increase in the base adds 0.4 to the slice. From one hundred nineteen to one hundred twenty-one, the amount moves by eight tenths around 48.
Common Mistakes
- Answering 40 because the problem “feels like” forty percent of one hundred.
- Multiplying 120 by 40 instead of 0.4.
- Quoting 72 when the prompt asked only for the forty percent share.
- Confusing forty percent of one hundred twenty with adding forty percent to one hundred twenty.
Pro Tip
Halve the base mentally: 60. Forty percent of sixty is 24; double it for one hundred twenty: 48. The same trick works whenever the base is an even multiple of a smaller number you already know at that rate.
Examples
Example 1: One hundred twenty pound subtotal
A £120.00 subtotal assigns forty percent to one cost centre: £48.00 there and £72.00 elsewhere in the simple split before VAT.
Example 2: Monthly hours
A contract budgets 120 hours; forty percent for training is 48 hours, leaving 72 hours for delivery in the naive model.
Example 3: Class of 120
If forty percent of pupils choose an elective, that is 48 students; the other 72 follow a different path before transfers.
Related Links
FAQ
What is 40% of 120?
40% of 120 is 48.
How do you calculate 40% of 120?
Multiply 120 by 0.4, take two fifths of 120, stack four lots of 10% (12 each), add 40% of 100 and 40% of 20, or double 40% of 60.
What is 120 minus 40%?
Removing the 40% portion (48) from 120 leaves 72.
Why is 40% of 120 not 40?
40% of 100 is 40, but the base is 20 larger. At a 40% rate, those 20 extra units add 8 to the slice, giving 48.