If another shareholder has a controlling interest greater than 51% of the ownership, then the minority shareholders have no real control over the company's management and are essentially just along for the ride. No matter how they vote on corporate issues, the controlling company will always outvote them. Because of this mathematical fact, minority shareholders are often called passive investors because of their lack of control.
For companies without a controlling interest, minority shareholders can wield much greater power by voting their own directors and influencing policies in the absence of a majority voter.
On the accounting side, a minority shareholder will not include the subsidiary company's financials in its consolidated financial statements so long as it's a passive investor. In that case, only the dividends from the subsidiary would be included. However, if the minority shareholders can exert influence because there is no controlling interest, then dividends and a pro-rata percentage of the subsidiary's income will be included.
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