What is x when 100 divided by x equals 5?

In other words, what would the divisor be if the dividend were 100 and the quotient 5?

To find the answer, just divide the dividend by the quotient: 100 ÷ 5 = 20

To prove this, let's compute 100 divided by 20: 100 20 = 5

How does it work?

Asking what the value of x could be when 100 divided by x gives a result of 5, is equivalent to solving the following equation:

100 x = 5

  1. Multiply both sides by x: 100 x x = 5 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 = 5 x
  4. To find x, divide both sides by 5: 100 5 = 5 x 5
  5. Which gives, after simplification: 20 = x (or x = 20 )

So, if the dividend is 100 and the quotient is 5, the divisor is 20.