What is x when 90 divided by x equals 100?

In other words, what would the divisor be if the dividend were 90 and the quotient 100?

To find the answer, just divide the dividend by the quotient: 90 ÷ 100 = 0.9

To prove this, let's compute 90 divided by 0.9: 90 0.9 = 100

How does it work?

Asking what the value of x could be when 90 divided by x gives a result of 100, is equivalent to solving the following equation:

90 x = 100

  1. Multiply both sides by x: 90 x x = 100 x
  2. 90 x x is equivalent to x x × 90 , which simplifies to 1 × 90 (or just 90 ).
  3. Thus, the equation becomes: 90 = 100 x
  4. To find x, divide both sides by 100: 90 100 = 100 x 100
  5. Which gives, after simplification: 0.9 = x (or x = 0.9 )

So, if the dividend is 90 and the quotient is 100, the divisor is 0.9.