Welcome to Eid-ul-Fitr
The month of Ramadan is the ninth month of the Islamic calendar dated from the time of Muhammad's (pbuh) Hijra from Makkah. This date may change depending on the appearance of the moon, so from year to year the date of Eid-ul-Fitr may well be different using a Western calendar.
On the last night of Ramadan, Muslims stay out in the streets and watch the sky while getting themselves ready to prepare for the festivities. As soon as the new moon appears in the night sky they will call out "Id Mubarak!" which means "Happy festival!". It is a bit like saying "Happy birthday". Immediately, the party begins. Sadly for the children, they have to go to bed because the appearance of the moon means that night is falling.
With modern technology it is possible to bring the end of Ramadan forward. Some people will wait by the telephone for a call from Makkah to say that the moon has appeared there. For a Muslim, this is enough to get the party underway. The only thing they will stop for is to ring relatives or friends in other parts of the world to alert them that Ramadan is over and Shawwal has begun!