How did Newton discover law of gravitation

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Newton discovered the law of gravitation by analyzing the motion of celestial bodies and applying mathematical principles to their movements. He formulated the law based on observations of falling objects and the orbits of planets, recognizing the proportional relationship between mass and distance. Newton's work was influenced by earlier scientists like Kepler and Galileo, who laid the groundwork for understanding planetary motion and gravity. He did not conduct specific experiments but rather synthesized existing knowledge and observations. This comprehensive approach led to the formulation of his law of universal gravitation, which remains fundamental in physics today.
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The law of gravitation states force between two point masses m and M is proportional to their product and inversely proportional to the square of distance between them.
So I'm just curious to know how did Newton discover this law? What kind of experiments he did to derive this formula? I want a brief history of it, thank you
 
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