What is x when 100 divided by x equals 45?

To find the answer, just divide the dividend by the quotient: 100 ÷ 45 = 2.2222222222222

To prove this, let's compute 100 divided by 2.2222222222222: $\frac{100}{2.2222222222222} = 45$

How does it work?

Asking what the value of x could be when 100 divided by x gives a result of 45, is equivalent to solving the following equation:

$\frac{100}{x} = 45$

Multiply both sides by x: $\frac{100 x}{x} = 45 x$
$\frac{100 x}{x}$ is equivalent to $\frac{x}{x} \times 100$ , which simplifies to $1 \times 100$ (or just $100$ ).
Thus, the equation becomes: $100 = 45 x$
To find x, divide both sides by 45: $\frac{100}{45} = \frac{45 x}{45}$
Which gives, after simplification: $2.2222222222222 = x$ (or $x = 2.2222222222222$ )

So, if the dividend is 100 and the quotient is 45, the divisor is 2.2222222222222.