What is x when 100 divided by x equals 27?

To find the answer, just divide the dividend by the quotient: 100 ÷ 27 = 3.7037037037037

To prove this, let's compute 100 divided by 3.7037037037037: $\frac{100}{3.7037037037037} = 27$

How does it work?

Asking what the value of x could be when 100 divided by x gives a result of 27, is equivalent to solving the following equation:

$\frac{100}{x} = 27$

Multiply both sides by x: $\frac{100 x}{x} = 27 x$
$\frac{100 x}{x}$ is equivalent to $\frac{x}{x} \times 100$ , which simplifies to $1 \times 100$ (or just $100$ ).
Thus, the equation becomes: $100 = 27 x$
To find x, divide both sides by 27: $\frac{100}{27} = \frac{27 x}{27}$
Which gives, after simplification: $3.7037037037037 = x$ (or $x = 3.7037037037037$ )

So, if the dividend is 100 and the quotient is 27, the divisor is 3.7037037037037.