What is x when 100 divided by x equals 26?

In other words, what would the divisor be if the dividend were 100 and the quotient 26?

To find the answer, just divide the dividend by the quotient: 100 ÷ 26 = 3.8461538461538

To prove this, let's compute 100 divided by 3.8461538461538: 100 3.8461538461538 = 26

How does it work?

Asking what the value of x could be when 100 divided by x gives a result of 26, is equivalent to solving the following equation:

100 x = 26

  1. Multiply both sides by x: 100 x x = 26 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 = 26 x
  4. To find x, divide both sides by 26: 100 26 = 26 x 26
  5. Which gives, after simplification: 3.8461538461538 = x (or x = 3.8461538461538 )

So, if the dividend is 100 and the quotient is 26, the divisor is 3.8461538461538.