Find the whole. explain your method

25% of 64

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