What is x when 100 divided by x equals 8?

In other words, what would the divisor be if the dividend were 100 and the quotient 8?

To find the answer, just divide the dividend by the quotient: 100 ÷ 8 = 12.5

To prove this, let's compute 100 divided by 12.5: 100 12.5 = 8

How does it work?

Asking what the value of x could be when 100 divided by x gives a result of 8, is equivalent to solving the following equation:

100 x = 8

  1. Multiply both sides by x: 100 x x = 8 x
  2. 100 x x is equivalent to x x × 100 , which simplifies to 1 × 100 (or just 100 ).
  3. Thus, the equation becomes: 100 = 8 x
  4. To find x, divide both sides by 8: 100 8 = 8 x 8
  5. Which gives, after simplification: 12.5 = x (or x = 12.5 )

So, if the dividend is 100 and the quotient is 8, the divisor is 12.5.