24% of students voted for purple
2,280 + 720 = 3,000, so, In total, there are 3,000 students.
Step 1: We make the assumption that 3000 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=3000$100%=3000.
Step 4: In the same vein, $x\%=720$x%=720.
Step 5: This gives us a pair of simple equations:
$100\%=3000(1)$100%=3000(1).
$x\%=720(2)$x%=720(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{3000}{720}$
100%
x%=
3000
720
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{720}{3000}$
x%
100%=
720
3000
$\Rightarrow x=24\%$⇒x=24%
Therefore, $720$720 is $24\%$24% of $3000$3000.