Question: What is 35 percent of 40?
Percentage solution with steps:
Step 1: Our output value is 40.
Step 2: We represent the unknown value with $x$x.
Step 3: From step 1 above,$40=100\%$40=100%.
Step 4: Similarly, $x=35\%$x=35%.
Step 5: This results in a pair of simple equations:
$40=100\%(1)$40=100%(1).
$x=35\%(2)$x=35%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{40}{x}=\frac{100\%}{35\%}$
40
x=
100%
35%
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{40}=\frac{35}{100}$
x
40=
35
100
$\Rightarrow x=14$⇒x=14
Therefore, $35\%$35% of $40$40 is $14$ B. 14%
