You will need

- 1) Paper 2) Pen 3) Calculator

Instruction

1

According to the Ozhegov Sergei Ivanovich, a percentage called the hundredth (part) from the whole and represent the symbol %. Hundredth can be written as:

1% = 1/100 = 0,01

The role of the whole, i.e. 100% can be anything: any number, bunch of grapes, a barrel of honey or pension.

1% = 1/100 = 0,01

The role of the whole, i.e. 100% can be anything: any number, bunch of grapes, a barrel of honey or pension.

2

Examples

1) Find 18% of the pension is equal to 6 122 R.

6 R. 122*18% = 6 122 R.*18/100 = 6 122 R.*0,18 = 1101,96 R.

2) Pour a barrel of honey for 8 cans. 3 banks give to guests. What percentage of honey from the barrel you gave? And how many have remained?

3/8 or 0.375 of the barrel you gave. Translate into a percentage by multiplying by 100. You gave 37.5% of the honey that you had. Left 5/8 = 0,625*100% = 62,5%.

1) Find 18% of the pension is equal to 6 122 R.

6 R. 122*18% = 6 122 R.*18/100 = 6 122 R.*0,18 = 1101,96 R.

2) Pour a barrel of honey for 8 cans. 3 banks give to guests. What percentage of honey from the barrel you gave? And how many have remained?

3/8 or 0.375 of the barrel you gave. Translate into a percentage by multiplying by 100. You gave 37.5% of the honey that you had. Left 5/8 = 0,625*100% = 62,5%.

3

All task interest easily solved with a proportion.

Find 82% of the number 506.

Proportion:

506 – 100%

X – 82%, where X is an unknown that must be found.

506/X = 100%/82%, or from 506*82% = X*100%

X = 506*82%/100% = 414,92

The percentage (%) as unit of measurement decreased.

Find 82% of the number 506.

Proportion:

506 – 100%

X – 82%, where X is an unknown that must be found.

506/X = 100%/82%, or from 506*82% = X*100%

X = 506*82%/100% = 414,92

The percentage (%) as unit of measurement decreased.

4

From a mathematical point of view there are three main types of task to the percent. The remaining tasks are produced on the basis of these types. Learn how to solve these problems.

5

The first type

Find the percentage from a given number.

The average salary in your organization is 20 thousand rubles next year promise an increase of 20%. How to grow expected salary next year?

20 thousand rubles – 100%

X – 20%

X = 20 $ *20%/100% = 4 thousand.

The expected average salary to grow by 4 thousand rubles and will be in the amount of 24 thousand.

Find the percentage from a given number.

The average salary in your organization is 20 thousand rubles next year promise an increase of 20%. How to grow expected salary next year?

20 thousand rubles – 100%

X – 20%

X = 20 $ *20%/100% = 4 thousand.

The expected average salary to grow by 4 thousand rubles and will be in the amount of 24 thousand.

6

The second type

Find the number by the percentage.

40% of tomatoes in the box, which amounted to 5 kg, were green. How many pounds of tomatoes lying in the drawer?

5 kg – 40%

X kg – 100%

X = 5kg*100%/40% = 12.5 kg

Find the number by the percentage.

40% of tomatoes in the box, which amounted to 5 kg, were green. How many pounds of tomatoes lying in the drawer?

5 kg – 40%

X kg – 100%

X = 5kg*100%/40% = 12.5 kg

7

The third type

Find the percentage of one number by the other.

In the morning Peter usually drinks 1 Cup of tea, and in the evening – 4. How many percent of the evening the volume of cups of tea he drinks in the morning?

4 cups – 100%

1 Cup – X%

X = 1 Cup*100%/4 cups = 25%

Find the percentage of one number by the other.

In the morning Peter usually drinks 1 Cup of tea, and in the evening – 4. How many percent of the evening the volume of cups of tea he drinks in the morning?

4 cups – 100%

1 Cup – X%

X = 1 Cup*100%/4 cups = 25%

Note

1) Carefully choose the value that will indicate 100%. 2)If over 100% you mentioned, for example, the number 200, then 99% - there will always be a number less than 200 and 101% - more. 3)After you have solved a problem, always analyze the response - this will help to avoid mistakes.

Useful advice

Write the terms on paper - so the task becomes clearer and clearer.