With Office 365, you will be able to configure mobile devices to interact with your account via Exchange/Active Sync protocol. This doc will provide you with guidelines on how you should and should not interact with your Office 365 calendar.
Important: The information below is based on Microsoft's recommended use of mobile devices when it comes to interacting with calendars. For best results, Microsoft recommends that people who schedule events with one another use the same calendar client. The majority of calendaring issues involve events with attendees, which may not get updated correctly if the organizer or any of the attendees take action on the meeting via a mobile device.