# FINDING THE WHOLE GIVEN A PART AND A PERCENT WORKSHEET

Finding the Whole Given a Part and a Percent Worksheet :

Worksheet given in this section will be much useful for the students who would like to practice solving different kinds of problems on percentage.

## Finding the Whole Given a Part and a Percent Worksheet - Problems

Problem 1 :

Twelve of the students in the school choir like to sing solos. These 12 students make up 24% of the choir. How many students are in the choir ?

Problem 2 :

There are 12 girls in a class and these girls make up 40% of the total students. How many students are in the class in total ?

Problem 3 :

240 televisions of a store are are high definition. These 240 televisions make up 80% of the televisions. How many televisions are in the store ?

## Finding the Whole Given a Part and a Percent Worksheet - Solutions

Problem 1 :

Twelve of the students in the school choir like to sing solos. These 12 students make up 24% of the choir. How many students are in the choir ?

Solution :

Step 1 :

Since we want to know the total number of students in the choir, compare the part to the whole.

Step 2 :

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

We know that 12 students represent 24%.

Step 3 :

Find the multiplication factor.

Since 12 x 2 = 24, find what number times 2 is equal to 100.

Step 4 :

Find the denominator.

12/50  =  24/100

(Since 50 · 2  =  100, the denominator is 50)

Hence, there are 50 students in the choir.

Problem 2 :

There are 12 girls in a class and these girls make up 40% of the total students. How many students are in the class in total ?

Solution :

Let us use multiplication method to find the whole.

Step 1 :

In multiplication method, the formula is

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

Step 2 :

From the given information, the part is 12 and the percent is 40.

Then, we have

(1)------------ > Whole  =  (12/40) x 100 %

Whole  =  30

Hence, there are 30 students in the class in total.

Problem 3 :

240 televisions of a store are are high definition. These 240 televisions make up 80% of the televisions. How many televisions are in the store ?

Solution :

Let us use multiplication method to find the whole.

Step 1 :

In multiplication method, the formula is

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

Step 2 :

From the given information, the part is 240 and the percent is 80.

Then, we have

(1)------------ > Whole  =  (240/80) x 100 %

Whole  =  300

Hence, there are 300 televisions in the store in total.

After having gone through the stuff given above, we hope that the students would have understood, how to solve problems on percentage.

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

You can also visit our following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

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

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

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

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

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

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

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6