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Having difficulty finding percent and percentage classroom resources to help solve percent questions?
There are loads of very intelligent people who shudder when they are asked how to find the percent of a number. Often although they hear the word percent or percentage a lot, they never know quite what it means. Many people know that 50% off is a good deal, but that’s about as far as it goes. I’m going to show you 3 simple methods to solve percentage problems and then you can maybe print out the free worksheets above designed and use the percent and percentage classroom resources for students of different abilities, so that you can have a go yourself.
What is 65% of 300?
There are two ways to solve a question such as what is 65% of 300
Having difficulty finding percent and percentage classroom resources to help solve percent questions?
There are loads of very intelligent people who shudder when they are asked how to find the percent of a number. Often although they hear the word percent or percentage a lot, they never know quite what it means. Many people know that 50% off is a good deal, but that’s about as far as it goes.
I’m going to show you 3 simple methods to solve percentage problems and then you can maybe print out the free worksheets or use the percent and percentage classroom resources above designed for students of different abilities, so that you can have a go yourself.
What is 65% of 300?
There are two ways to solve a question such as what is 65% of 300
Using a calculator (method 1)
I know it sounds obvious, but if you have a calculator or a calculator app, this is the easiest way
Type in:
One thing to note:
In maths ‘of’ means x
In other words any time you say ‘of’, in maths use x (times, multiply, etc.)
eg. a half of 6 means:
½ times 6
or
½ x 6
65 percent of 300 means:
65% x 600
One thing to note:
In maths ‘of’ means x
In other words any time you say ‘of’, in maths use x (times, multiply, etc.)
eg. a half of 6 means:
½ times 6
or
½ x 6
65 percent of 300 means:
65% x 600
What does the % button do?
Percent (%) means ‘out of 100’ or ‘divided by 100’ (In maths ‘out of’ means divide ()
The percent button just takes your number (65) and divides it by 100 (0.65)
Using a calculator (method 2)
This is a bit longer, but works if you don’t have a % button.
As % means divide by 100, just type in:
…same answer.
Why don’t we just always use a calculator?
Good point! These days nearly everyone has access to a calculator all of the time unless you are in a maths test and you aren’t allowed to use a phone or a calculator.
However, apart from getting top marks in math tests, the other great reason to learn to find a percentage of a number without a calculator is that it really teaches you to understand what percentages are, and really use them properly. Also, finding a percent of a number without a calculator helps you to check if you’ve made a mistake on the calculator and helps you to get a ‘feel’ for numbers. It’s worth learning all the methods really…
Find a percent of a number without a calculator
First of all, learn a few basic percentages and how they relate to fractions and division:
Why don’t we just always use a calculator?
Good point! These days nearly everyone has access to a calculator all of the time unless you are in a maths test and you aren’t allowed to use a phone or a calculator.
However, apart from getting top marks in math tests and being able to use the percent and percentage classroom resources above, the other great reason to learn to find a percentage of a number without a calculator is that it really teaches you to understand what percentages are, and really use them properly. Also, finding a percent of a number without a calculator helps you to check if you’ve made a mistake on the calculator and helps you to get a ‘feel’ for numbers. It’s worth learning all the methods really…
Find a percent of a number without a calculator
First of all, learn a few basic percentages and how they relate to fractions and division:
Don’t stress about this. It just means this:
In other words-
If you want to find:
- 1% of a number (a hundredth), you divide it by 100.
- 10% of a number (a tenth), you divide it by 10.
- 50% of a number (a half), you divide it by 2.
- 25% of a number (a quarter), you divide it by 4.
Now that we’re ready to go…
In other words-
If you want to find:
- 1% of a number (a hundredth), you divide it by 100.
- 10% of a number (a tenth), you divide it by 10.
- 50% of a number (a half), you divide it by 2.
- 25% of a number (a quarter), you divide it by 4.
Now that we’re ready to go…
Best method to solve percentage problems without a calculator
Although it’s not the quickest, in my opinion after all my years of teaching Year 6 (5th grade) children, it’s the best.
So let’s try three examples…
65% of 300
I don’t know what 65% of 300 is
…but I do know 10% of 300
10% of 300 is 300 divided by 10
10% of 300 = 30
↓x 6 ↓x 6
60% of 300 = 180
10% of 300 = 30
↓ ÷2 ↓ ÷2
5% of 300 = 15
60% of 300 = 180
5% of 300 = 15 (add them up)
65% of 300 = 195
38% of 300
I don’t know what 38% of 300 is
…but I do know 10% of 300
10% of 300 is 300 divided by 10
10% of 300 = 30
↓x 3 ↓x 3
30% of 300 = 90
1% of 300 is 300 divided by 100
1% of 300 = 3
↓ x 8 ↓ x 8
8% of 300 = 24
30% of 300 = 90
8% of 300 = 24 (add them up)
38% of 300 = 114
76% of 300
I don’t know what 76% of 300 is
…but I do know 25% of 300
25% of 300 is 300 divided by 4
25% of 300 = 75
↓ x 3 ↓ x 3
75% of 300 = 225
1% of 300 is 300 divided by 100
1% of 300 = 3
75% of 300 = 225
1% of 300 = 3 (add them up)
76% of 300 = 228
65% of 300
I don’t know what 65% of 300 is
…but I do know 10% of 300
10% of 300 is 300 divided by 10
10% of 300 = 30
↓x 6 ↓x 6
60% of 300 = 180
10% of 300 = 30
↓ ÷2 ↓ ÷2
5% of 300 = 15
60% of 300 = 180
5% of 300 = 15 (add them up)
65% of 300 = 195
38% of 300
I don’t know what 38% of 300 is
…but I do know 10% of 300
10% of 300 is 300 divided by 10
10% of 300 = 30
↓x 3 ↓x 3
30% of 300 = 90
1% of 300 is 300 divided by 100
1% of 300 = 3
↓ x 8 ↓ x 8
8% of 300 = 24
30% of 300 = 90
8% of 300 = 24 (add them up)
38% of 300 = 114
76% of 300
I don’t know what 76% of 300 is
…but I do know 25% of 300
25% of 300 is 300 divided by 4
25% of 300 = 75
↓ x 3 ↓ x 3
75% of 300 = 225
1% of 300 is 300 divided by 100
1% of 300 = 3
75% of 300 = 225
1% of 300 = 3 (add them up)
76% of 300 = 228
There are other methods, but this one works and helps you understand percentages.
Once you have grasped these, all of those percentage worksheets and percent and percentage classroom resources that people throw at you should be easy, as should percentage of amount questions, or essentially any percent calculations.
Finally, the best way from here is to improve your maths by practising the maths drills above and whether you are a student, teacher, tutor or homeschool educator, I hope the free printable percent worksheets are useful for you. I’m sure you’ll find it’s a great classroom or homework resource to help people with their maths and in particular percentages and get people to feel a bit more at home with percentages and math in general.
