25% × 64 =
(25 ÷ 100) × 64 =
(25 × 64) ÷ 100 =
1,600 ÷ 100 =
16;
Percentage solution with steps:
Step 1: Our output value is 64.
Step 2: We represent the unknown value with $x$x.
Step 3: From step 1 above,$64=100\%$64=100%.
Step 4: Similarly, $x=25\%$x=25%.
Step 5: This results in a pair of simple equations:
$64=100\%(1)$64=100%(1).
$x=25\%(2)$x=25%(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
$\frac{64}{x}=\frac{100\%}{25\%}$
64
x=
100%
25%
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{64}=\frac{25}{100}$
x
64=
25
100
$\Rightarrow x=16$⇒x=16
