What is x when 97 divided by x equals 100?

To find the answer, just divide the dividend by the quotient: 97 ÷ 100 = 0.97

To prove this, let's compute 97 divided by 0.97: $\frac{97}{0.97} = 100$

How does it work?

Asking what the value of x could be when 97 divided by x gives a result of 100, is equivalent to solving the following equation:

$\frac{97}{x} = 100$

Multiply both sides by x: $\frac{97 x}{x} = 100 x$
$\frac{97 x}{x}$ is equivalent to $\frac{x}{x} \times 97$ , which simplifies to $1 \times 97$ (or just $97$ ).
Thus, the equation becomes: $97 = 100 x$
To find x, divide both sides by 100: $\frac{97}{100} = \frac{100 x}{100}$
Which gives, after simplification: $0.97 = x$ (or $x = 0.97$ )

So, if the dividend is 97 and the quotient is 100, the divisor is 0.97.