What is x when 100 divided by x equals 72?

To find the answer, just divide the dividend by the quotient: 100 ÷ 72 = 1.3888888888889

To prove this, let's compute 100 divided by 1.3888888888889: $\frac{100}{1.3888888888889} = 72$

How does it work?

Asking what the value of x could be when 100 divided by x gives a result of 72, is equivalent to solving the following equation:

$\frac{100}{x} = 72$

Multiply both sides by x: $\frac{100 x}{x} = 72 x$
$\frac{100 x}{x}$ is equivalent to $\frac{x}{x} \times 100$ , which simplifies to $1 \times 100$ (or just $100$ ).
Thus, the equation becomes: $100 = 72 x$
To find x, divide both sides by 72: $\frac{100}{72} = \frac{72 x}{72}$
Which gives, after simplification: $1.3888888888889 = x$ (or $x = 1.3888888888889$ )

So, if the dividend is 100 and the quotient is 72, the divisor is 1.3888888888889.