What is x when 97 divided by x equals 27?

To find the answer, just divide the dividend by the quotient: 97 ÷ 27 = 3.5925925925926

To prove this, let's compute 97 divided by 3.5925925925926: $\frac{97}{3.5925925925926} = 27$

How does it work?

Asking what the value of x could be when 97 divided by x gives a result of 27, is equivalent to solving the following equation:

$\frac{97}{x} = 27$

Multiply both sides by x: $\frac{97 x}{x} = 27 x$
$\frac{97 x}{x}$ is equivalent to $\frac{x}{x} \times 97$ , which simplifies to $1 \times 97$ (or just $97$ ).
Thus, the equation becomes: $97 = 27 x$
To find x, divide both sides by 27: $\frac{97}{27} = \frac{27 x}{27}$
Which gives, after simplification: $3.5925925925926 = x$ (or $x = 3.5925925925926$ )

So, if the dividend is 97 and the quotient is 27, the divisor is 3.5925925925926.