Question

find the amount 0.26 is 78% of​

Answer 1

$\longrightarrow \sf \: let \: \: \: the \: \: \: amount \: \: \: be \: \: \: \bf x$

$\therefore \sf \: \: 78\% \: \: \: of \: \: \: x \: \: \: = \: \: \: 0.26 \\ \\ \\ \sf\cfrac{78}{100} \: \: \: \times \: \: \: x \: \: \: = \: \: \: \frac{26}{100} \\ \\ \\ \sf x \: \: \: = \: \: \: \cfrac{26}{ \cancel{100}} \: \: \: \times \: \: \: \cfrac{ \cancel{100}}{78} \\ \\ \\ \sf x \: \: \: = \: \: \xcancel\cfrac{26}{78} \\ \\ \\ \sf x \: \: \: = \: \: \: \cfrac{1}{3}$

Answer 2

Question:

What is 0.26 percent of 78?

Solution:

Percentage solution with steps:

Step 1: Our output value is 78.

Step 2: We represent the unknown value with x

Step 3: From step 1 above, 78 = 100%

Step 4: Similarly, x = 0.26%

Step 5: This results in a pair of simple equations:

$78 = 100\%(1) \: .$

$x \: = 0.26\%(2) \: .$

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

$\frac{ \: 78 \: }{ \: x \: } = \frac{ \: 100 \: \%}{ \: 0.26 \: \%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{ \: x \: }{ \: 78 \: } = \frac{ \: 0.26 \: }{ \: 100 \: }$

$➠ \: x = 0.2028$

$Therefore, 0.26\% \: of \: 78 \: is \: 0.2028$