What is x when 100 divided by x equals 25?

In other words, what would the divisor be if the dividend were 100 and the quotient 25?

To find the answer, just divide the dividend by the quotient: 100 ÷ 25 = 4

To prove this, let's compute 100 divided by 4: 100 4 = 25

How does it work?

Asking what the value of x could be when 100 divided by x gives a result of 25, is equivalent to solving the following equation:

100 x = 25

  1. Multiply both sides by x: 100 x x = 25 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 = 25 x
  4. To find x, divide both sides by 25: 100 25 = 25 x 25
  5. Which gives, after simplification: 4 = x (or x = 4 )

So, if the dividend is 100 and the quotient is 25, the divisor is 4.