Finding the Percentage of one number and another

In mathematics, a word problem for a set S with respect to a system of finite encoding of its elements is the algorithmic problem of deciding whether two given representatives represent the same element of the set. Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign, "%". In this article we shall discuss finding the percentage of one number and another number example problem. (Source: Wikipedia)

Finding the percentage of one number and another example problem

To finding the percentage of one number and another following formula used

Percentage formula = Changes in value   x 100%
                                    Original value

Example 1:

Find how much percentage increase from the number 80 to 95.5?

Solution:

Increased value = new value – old value

Increase value = 95.5 – 80 = 15.5

Percentage increase = `15.5/80` x 100%

Increased percentage = 19.3%

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Example 2:

Find how much percentage decrease from the number 105 to 95.5?

Solution:

Decrease value = new value – old value

Decrease value = 95.5 – 105 = 9.5

Percentage decrease = `9.5/105` x100%

Decreased percentage = 9%

Example 3:

Jasmine last month earned salary `$` 1250. He earned this month salary `$` 1600. Find how many percentage increases in her salary amount.

Solution:

Jasmine increased salary = new salary – original salary

`$` 1600 –`$` 1250 = 350

Salary percentage increase = `350/1250` x100% = 28%

Jasmine increased salary percentage is 28%

Example 4:

Kishore last month earned salary `$` 1800. He earned this month salary `$` 1500. Find how much percentage decreased in his salary amount.

Solution:

Kishore decreased salary = new salary – original salary

`$` 1500 –`$` 1800 = 300

Salary percentage increase = `300/1800` x100%= 16.6%

Kishore decreases salary percentage is 16.6%

Finding the percentage of one number and another practice problem

Problem 1:

Joes last month earned salary `$` 1550. He earned this month salary` $` 1800. Find Percentage Increase in her salary amount.

Answer:

Joes increased salary percentage is 13.8%

Problem 2:

Ram last month earned salary `$` 1300. He earned this month salary `$` 600. Find how much percentage decreased in his salary amount.

Answer:

Ram decreases salary percentage is 53.8%