**Finding a percent given a part and a whole :**

For the purpose of comparison, in our day to day life, often we need to find percent for the given part and whole.

We can use the following two methods to find percent for the given part and whole.

They are

1. Proportional reasoning

2. Multiplication

The formula to find percent using proportional reasoning is given by

The formula to find percent using multiplication is given by

**Example 1 : **

The school principal spent $2,000 to buy some new computer equipment. Of this money, $120 was used to buy some new keyboards. What percent of the money was spent on keyboards ?

**Solution :**

**Step 1 :**

Since we want to know the part of the money spent on keyboards, compare the part to the whole.

**Step 2 :**

Write a proportion comparing the percent to the ratio of part to whole.

**Step 3 :**

Find the multiplication factor.

Since 100 · 20 = 2,000, find what number times 20 equals 120.

**Step 4 :**

Find the numerator.

6/100 = 120/2000

(Since 20 · 6 = 120, the percent is 6%)

Hence, the principal spent 6% of the money on keyboards.

**Example 2 : **

Out of the 25 students in Mrs. Green’s class, 19 have a pet. What percent of the students in Mrs. Green’s class have a pet ?

**Solution :**

Let us use multiplication method to find percentage.

**Step 1 :**

In multiplication method, the formula is

Percent = (Part / Whole) x 100 % -----(1)

**Step 2 :**

Since we want to find percent of the students in Mrs. Green’s class have a pet, the part is 19 and the whole is 25.

Then, we have

(1)------------ > Percent = (19/25) x 100 %

Percent = 19 x 4 % = 36 %

Hence, 36 percent of the students in Mrs. Green’s class have a pet.

After having gone through the stuff given above, we hope that the students would have understood "How to find a percent given a part and a whole".

Apart from the stuff given above, if you want to know more about "Finding a percent given a part and a whole", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**