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Formula: Calendar Quarter Calculator

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Results

Calendar Quarter
Q1
of the year
Month number 1
Quarter starts (month) 1
Quarter ends (month) 3

What is a Calendar Quarter?

A calendar quarter divides the 12-month year into four equal three-month blocks. The standard calendar quarters are Q1 (January–March), Q2 (April–June), Q3 (July–September) and Q4 (October–December). Businesses, accountants and analysts use quarters to group financial reporting, sales targets and planning periods. This calculator tells you exactly which quarter any month falls in, along with that quarter's first and last month.

Calendar year divided into four colored quarters with three months each
A calendar year split into four quarters: Q1 (Jan–Mar), Q2 (Apr–Jun), Q3 (Jul–Sep), Q4 (Oct–Dec).

How to Use It

Pick a month from the dropdown and the calculator instantly returns the quarter number (Q1 to Q4) plus the range of months that make up that quarter. It works for any month of the year and is useful when scheduling quarterly reviews, estimated tax periods or fiscal milestones.

The Formula Explained

The quarter is found with a simple integer formula: $$\text{quarter} = \left\lfloor \frac{\text{month} - 1}{3} \right\rfloor + 1$$. Subtracting 1 makes the month zero-based (January becomes 0). Dividing by 3 and taking the floor groups every three months together, and adding 1 shifts the result back to the familiar 1–4 range.

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Diagram showing month number mapped through floor division formula to a quarter
The formula uses floor division to convert a month number into its quarter.

Worked Example

Take August, which is month 8. Compute $$\left\lfloor \frac{8 - 1}{3} \right\rfloor + 1 = \left\lfloor \frac{7}{3} \right\rfloor + 1 = \lfloor 2.33 \rfloor + 1 = 2 + 1 = 3.$$ So August falls in Q3, the quarter that spans July through September.

FAQ

Are these calendar or fiscal quarters? This tool uses standard calendar quarters starting in January. Fiscal quarters can begin in a different month depending on the organization.

Which months are in each quarter? Q1 = Jan–Mar, Q2 = Apr–Jun, Q3 = Jul–Sep, Q4 = Oct–Dec.

Why does the formula use floor? Floor rounds down to the nearest whole number, which neatly groups any three consecutive months into the same quarter.

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