“Successful people never worry about what others are doing.”
Alleged source in Plato unknown. Earliest occurrence to have been located is a Tweet from 2011 https://twitter.com/ochocinco/status/93332058864238592.
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Plato 80
Classical Greek philosopher -427–-347 BCRelated quotes

“Never worry about theory as long as the machinery does what it's supposed to do.”
Waldo & Magic, Inc. (1950)

“Worry less about what other people think about you, and more about what you think about them.”

Source: Think and Grow Rich: The Landmark Bestseller - Now Revised and Updated for the 21st Century

“Do not anticipate trouble, or worry about what may never happen. Keep in the sunlight.”
As quoted in Dictionary of Thoughts (1908) by Tryon Edwards, p. 22.
Decade unclear
Variant: Do not anticipate trouble, or worry about what may never happen. Keep in the sunlight.

“Never worry what other people think of you, because no one ever thinks of you.”
Source: Saga, Vol. 2

“The moment you stop worrying about success is when success will happen.”

“You wouldn't worry so much about what others think of you if you realized how seldom they do.”