What precent of change would 56 decreased to 14 be?

Mathematics · High School · Tue Nov 03 2020

Answered on

Given the statement:

56 decreased to 14

Determine the percent of change.

Solution:

In order to determine the percent of change, we must first find by how much was 56 decreased to.

56 - x = 14

x = 56 -14

x = 42

Now that we know 56 was decreased by 42, we will now compute what percentage of 56 is 42, this can be done by dividing 42 with 56.

= 42/56

= 0.75

Since we are given a decimal answer, in order to convert it into percentage, we multiply the decimal by 100. Hence, in converting a percentage into decimal, we divide the percentage by 100.

= (0.75)(100)

= 75%

Final answer:
75%