Bobach participated at the Junior World Orienteering Championships in Druskininkai in 2006, where she placed 49th in the sprint, 20th in the middle, and 49th in the long distance.

[3] At the 2008 Junior World Orienteering Championships in Gothenburg she participated on the Danish relay team that won silver medals, along with Signe Klinting and Maja Alm.

[14] Ida did also participate in the WOC 2011 in France (still as a junior), where she made the best result for a Danish woman since 1974: She won a silver medal in the middle distance.

[15] During the WOC 2014 those took place in Trentino and Veneto Ida won silver medals in the middle distance and in the relay with Emma Klingenberg and Maja Alm.

In 2015 Bobach had her most successful season yet, as she won both the Long distance[16] and the Relay at the world championships in Inverness, running with Maja Alm and Emma Klingenberg.