This calculator answers “what percent of the total is this part?”. Enter the part and the total; you get the part as a percentage of the total, the remainder and the remainder’s percentage. For example, how much of a 180 ft² yard a 45 ft² bed takes up.
Formula
Percent = part ÷ total × 100. Remainder = total − part. Remainder percent = 100 − percent. The part cannot be larger than the total here; use a percent change calculator for growth.
- part: the piece you are asking about
- total: the whole it belongs to
Worked Example
A 45 ft² flower bed in a 180 ft² front yard.
- Percent = 45 ÷ 180 × 100 = 25.00%
- Remainder = 180 − 45 = 135.00
- Remainder percent = 100 − 25 = 75.00%
How to use the result
Use the same unit for part and total (both square feet, both hours, both dollars). The result reads as “the part is X percent of the total”.
Examples: share of a yard
| Part | Total | Percent of total |
|---|---|---|
| 50 ft² | 1000 ft² | 5.0% |
| 120 ft² | 1000 ft² | 12.0% |
| 250 ft² | 1000 ft² | 25.0% |
| 300 ft² | 2500 ft² | 12.0% |
| 450 ft² | 1800 ft² | 25.0% |
| 800 ft² | 3200 ft² | 25.0% |
| 1000 ft² | 4000 ft² | 25.0% |
| 1500 ft² | 5000 ft² | 30.0% |
The same sum answers any part-of-a-whole question: hours of a shift, pages of a report, or square feet of lawn that is shaded.
Limits and common mistakes
- A total of 0 has no percentage (Cannot compute).
- Percent of total is not percent change: going from 45 to 180 is a 300% increase, but 45 is 25% of 180.
- Round only at the end.
Frequently Asked Questions
How do I work out what percent one number is of another?
Divide the part by the total and multiply by 100.
What percent is 30 of 120?
30 ÷ 120 × 100 = 25%.
Can the percent be over 100?
Only if the part is bigger than the total; this calculator requires part ≤ total.
How do I find the part from a percent?
Part = total × percent ÷ 100.
Formula used
in part | Part | - | 45 | 0 in tot | Total | - | 180 | 0 out p | Part as a percent of the total | % | part / tot * 100 + 0 * sqrt(tot - part) | 2 out rest | Remainder | - | tot - part | 2 out rp | Remainder as a percent | % | 100 - p | 2
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.