What is x when 26 divided by x equals 75?

In other words, what would the divisor be if the dividend were 26 and the quotient 75?

To find the answer, just divide the dividend by the quotient: 26 ÷ 75 = 0.34666666666667

To prove this, let's compute 26 divided by 0.34666666666667: 26 0.34666666666667 = 75

How does it work?

Asking what the value of x could be when 26 divided by x gives a result of 75, is equivalent to solving the following equation:

26 x = 75

  1. Multiply both sides by x: 26 x x = 75 x
  2. 26 x x is equivalent to x x × 26 , which simplifies to 1 × 26 (or just 26 ).
  3. Thus, the equation becomes: 26 = 75 x
  4. To find x, divide both sides by 75: 26 75 = 75 x 75
  5. Which gives, after simplification: 0.34666666666667 = x (or x = 0.34666666666667 )

So, if the dividend is 26 and the quotient is 75, the divisor is 0.34666666666667.