What is x when 96 divided by x equals 45?

In other words, what would the divisor be if the dividend were 96 and the quotient 45?

To find the answer, just divide the dividend by the quotient: 96 ÷ 45 = 2.1333333333333

To prove this, let's compute 96 divided by 2.1333333333333: 96 2.1333333333333 = 45

How does it work?

Asking what the value of x could be when 96 divided by x gives a result of 45, is equivalent to solving the following equation:

96 x = 45

  1. Multiply both sides by x: 96 x x = 45 x
  2. 96 x x is equivalent to x x × 96 , which simplifies to 1 × 96 (or just 96 ).
  3. Thus, the equation becomes: 96 = 45 x
  4. To find x, divide both sides by 45: 96 45 = 45 x 45
  5. Which gives, after simplification: 2.1333333333333 = x (or x = 2.1333333333333 )

So, if the dividend is 96 and the quotient is 45, the divisor is 2.1333333333333.