Windows Phone 7. (Spencer Platt/GETTY IMAGES)

The firm said that Windows’ partnership with Nokia will help it vault past iOS and grab about 20 percent of the market in the next few years as Nokia phones shift from the Symbian platform to Windows’ mobile system.

“The new alliance brings together Nokia's hardware capabilities and Windows Phone’s differentiated platform,” senior research analyst Ramon Llamas said in a release.

IDC estimates Microsoft has about 5.5 percent smartphone market share now.

The report also predicts that the smartphone market will grow more than four times faster than the rest of the mobile market in 2011.

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