What is x when 75 divided by x equals 97?

To find the answer, just divide the dividend by the quotient: 75 ÷ 97 = 0.77319587628866

To prove this, let's compute 75 divided by 0.77319587628866: $\frac{75}{0.77319587628866} = 97$

How does it work?

Asking what the value of x could be when 75 divided by x gives a result of 97, is equivalent to solving the following equation:

$\frac{75}{x} = 97$

Multiply both sides by x: $\frac{75 x}{x} = 97 x$
$\frac{75 x}{x}$ is equivalent to $\frac{x}{x} \times 75$ , which simplifies to $1 \times 75$ (or just $75$ ).
Thus, the equation becomes: $75 = 97 x$
To find x, divide both sides by 97: $\frac{75}{97} = \frac{97 x}{97}$
Which gives, after simplification: $0.77319587628866 = x$ (or $x = 0.77319587628866$ )

So, if the dividend is 75 and the quotient is 97, the divisor is 0.77319587628866.