# Century Converters

> Convert between centuries, years, and dates with precise calculations

**Category:** Conversion
**Keywords:** century, year, date, time, converter, calendar, era, decade, millennium
**URL:** https://complete.tools/century-converters

## How it calculates

To convert between years and centuries, we use these formulas: 

1. To find the century from a year:  
   Century = (Year ÷ 100) + 1 (if Year mod 100 ≠ 0) or (Year ÷ 100) (if Year mod 100 = 0)  

2. To find the year from a century:  
   Year = (Century - 1) × 100 + 1 to Century × 100  

Here, 'Year' is the year you input, and 'Century' is what we calculate from that year. The modulo operation helps us determine if a year is the end of a century. For instance, 1900 is the last year of the 19th century, while 1901 kicks off the 20th century. With this mathematical relationship, you can easily transition between years and centuries.

## Who should use this

This tool is perfect for historians digging into significant events from specific centuries, educators teaching students about timelines, genealogists tracing family histories, and writers looking for accurate historical references.

## Worked examples

Example 1: A historian wonders what century 1776 falls into. Using the formula, they calculate Century = (1776 ÷ 100) + 1 = 18.76, which means 1776 is in the 18th century.

Example 2: An educator wants to convert the 21st century into years. They apply the formula Year = (21 - 1) × 100 + 1 to 21 × 100, resulting in Year = 2000 to 2100. So, the 21st century runs from 2001 to 2100.

Example 3: A genealogist is exploring the 19th century. They find that the year 1850 fits into that century using Century = (1850 ÷ 100) = 18.5, confirming it's indeed the 19th century.

## Limitations

Keep in mind that this tool operates under the Gregorian calendar, which means it might not be accurate for dates before its adoption in 1582 in some places. It also doesn't take leap years into account when calculating specific days. When converting centuries to years, you’ll only get year ranges, not specific days. Plus, the interpretation of some historical events may vary, depending on context.

## FAQs

**Q:** How does the tool handle years before 1 AD?  


**A:** The tool assumes all years are positive integers, so it can't process years before 1 AD.  


**Q:** Can the tool convert dates from different calendar systems?  


**A:** No, it’s designed just for the Gregorian calendar and doesn’t handle other systems like the Julian calendar or Lunar calendars.  


**Q:** What’s the role of the modulo operation in the calculations?  


**A:** The modulo operation checks if a year is the last of a century, which changes how the century is calculated and whether to add 1 to the result.  


**Q:** Does the tool provide conversions for historical events?  


**A:** Nope, it strictly focuses on numerical conversions between centuries, years, and dates.

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*Generated from [complete.tools/century-converters](https://complete.tools/century-converters)*