Question

How do you make 16 over 2000 a percent?

Answer 1

We must multiply both numerator and denominator by a number such that the new denominator is 100.

So, we want to perform the following transformation:

$\dfrac{16}{2000} \to \dfrac{16x}{2000x} = \dfrac{16x}{100}$

So, in particular, we want $2000x = 100$, which yields

$x = \dfrac{100}{2000} = \dfrac{1}{20}$

We also have to multiply the numerator by that quantity, obtaining

$16 \cdot \dfrac{1}{20} = \dfrac{16}{20} = \dfrac{4}{5} = 0.8$

So, the answer is

$\dfrac{16}{2000} =\dfrac{16\cdot\frac{1}{20}}{2000\cdot\frac{1}{20}} =\dfrac{0.8}{100}$

Which means that 16 over 2000 is 0.8%