Motor Efficiency: Understand Why 0.85 Matters

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TSN79
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In an assigment I'm using the general formula P=F*v, where P is the effect of a motor. The motor drives something through a series of sprockets, who's efficiency is 85 %, and so it seems intuitive to me to multiply the resulting P with 0,85 to get true effect, but apparently the solution divides by 0,85 which results in a higher P than to begin with. I don't get the logic in this, so if someone can explain why this is correct I would like to hear it.
 
What's the question?
Could it be that you're given the final output power (that is, after the sprockets), and asked the power of the motor?