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98 is 63% less than what number?

9898 is 63% 63 \% less than what number?

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Checkpoint: Rational and irrational numbersright chevron icon

Full solution

Q. 9898 is 63% 63 \% less than what number?
  1. Understand the problem: Understand the problem.\newlineWe need to find a number such that 9898 is 63%63\% less than it. This means that 9898 represents the remaining 37%37\% of the original number after reducing it by 63%63\%.
  2. Express the equation: Express the problem as an equation.\newlineLet the original number be xx. Then, 37%37\% of xx is equal to 9898.\newlineSo, we can write the equation as 0.37×x=980.37 \times x = 98.
  3. Solve for x: Solve for x.\newlineTo find x, we divide 9898 by 0.370.37.\newlinex=980.37x = \frac{98}{0.37}
  4. Perform the division: Perform the division to find the original number. \newlinex=980.37x = \frac{98}{0.37}\newlinex≈264.864864864865x \approx 264.864864864865 (rounded to 99 decimal places for accuracy)
  5. Check the result: Check the result.\newlineTo verify that our answer is correct, we can calculate 63%63\% of xx and subtract it from xx to see if we get 9898.\newline63%63\% of xx is 0.63×264.864864864865≈166.8651851851850.63 \times 264.864864864865 \approx 166.865185185185\newlinex−(0.63×x)x - (0.63 \times x) should equal 9898:\newline264.864864864865−166.865185185185≈98264.864864864865 - 166.865185185185 \approx 98

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