Respuesta :

(25/100)*56 = (x/100)*42

14 = (21/50)x

x = 33.333333

The percent of 42 is 33.33% when the percent of 56 is 25% and it is determine by using arithmetic operations.

To determine the percentage of 42 arithmetic operations are used. Arithmetic operations include multiplication, addition, root, subtraction and division.

Following steps are used to determine the percentage of 42:

Step 1 -  Divide 25 by 100.

[tex]=\dfrac{25}{100}=0.25[/tex]

Step 2 - Multiply the above value by 56.

[tex]=0.25\times 56[/tex]

= 14

Step 3 - Let the percent of 42 be x.

Step 4 - Divide x by 100 and than multiply it by 42.

[tex]=\dfrac{x}{100}\times 42[/tex]

Step 5 - Equate the above equation to the result obtain in step 2.

[tex]\dfrac{x}{100}\times 42 = 14[/tex]   --- (1)

Step 6 - Further simplify equation (1).

[tex]x = \dfrac{14\times 100}{42}[/tex]

x = 33.33%

The percent of 42 is 33.33% when the percent of 56 is 25%.

For more information, refer the link given below

https://brainly.com/question/2096984