SolveIt Calculator Logo
SolveItCalculator
Date & Calendar CalculatorsFree Online CalculatorUpdated 2026

Day of Week Calculator

Find what day of the week (Monday, Tuesday, etc.) any past or future date falls on using Zeller congruence arithmetic.

Day of Week Calculator
High PrecisionCalendar-Aware
Computed Result
Ready
Configure inputs below

Calculation Formula & Mathematical Model

The mathematical formula governing day of week calculator calculations standardizes chronological intervals and handles non-linear calendar boundary variations:

h = (q + \lfloor\frac{13(m+1)}{5}\rfloor + K + \lfloor\frac{K}{4}\rfloor + \lfloor\frac{J}{4}\rfloor - 2J) \bmod 7

Related Time & Date Tools

Explore All Tools

Frequently Asked Questions

What mathematical algorithm is used to find the day of the week?▼

Zeller’s Congruence algorithm determines the day of the week for any Gregorian calendar date.