What is x when 82 divided by x equals 100?

In other words, what would the divisor be if the dividend were 82 and the quotient 100?

To find the answer, just divide the dividend by the quotient: 82 ÷ 100 = 0.82

To prove this, let's compute 82 divided by 0.82: 82 0.82 = 100

How does it work?

Asking what the value of x could be when 82 divided by x gives a result of 100, is equivalent to solving the following equation:

82 x = 100

  1. Multiply both sides by x: 82 x x = 100 x
  2. 82 x x is equivalent to x x × 82 , which simplifies to 1 × 82 (or just 82 ).
  3. Thus, the equation becomes: 82 = 100 x
  4. To find x, divide both sides by 100: 82 100 = 100 x 100
  5. Which gives, after simplification: 0.82 = x (or x = 0.82 )

So, if the dividend is 82 and the quotient is 100, the divisor is 0.82.