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In the problem: "63% of what number is 792?" the number being sought is the

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8 votes

Answer:

Set up an equation using these key terms:

  • 63% can be considered 63/100
  • 'what number' can represent 'x'(our unknown value).
  • 'of' means multiplication
  • '-is 792' means the product is equal to 792

Form the equation by piecing these key terms together:

63/100(63%) ×(of) X(The number being sought) = 792("-is 792)

63/100 × X = 792

(63/100 can be simplified to 0.63)

So, rewrite the equation to:

0.63 × X = 792

Solve for x!

0.63x = 792

Isolate 'x' by dividing 0.63 from both sides because the inverse operation of multiplication is division.

÷0.63 ÷0.63

x = 1,257.14285714 which can be rounded to 1,257.14.

Therefore, the number being sought is 1,257.14.

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