ArtsAutosBooksBusinessEducationEntertainmentFamilyFashionFoodGamesGenderHealthHolidaysHomeHubPagesPersonal FinancePetsPoliticsReligionSportsTechnologyTravel

Using decimal multipliers to solve percentage increase problems.

Updated on February 21, 2013


If you are carrying out a percentage increase question then you are making the amount larger by a given percentage. Here are two methods that you can use to work out a percentage increase question:

Method 1

1. Work out 1% of your number. Do this by dividing the amount by 100

2. Multiply this amount by your percentage.

3. Add this amount back onto the original amount.

Method 2

1. Add the percentage to 100.

2. Change the percentage to a decimal (by dividing by 100).

3. Multiply the amount by this decimal.

Both methods will give exactly the same answer. The second method is a quicker method and it can be applied to harder percentage questions.

Example 1

Increase 62m by 18%

Method 1

1. Work out 1% of your number. Do this by dividing the amount by 100

1% = 0.62 ( 62 ÷ 100 = 0.62)

2. Multiply this amount by your percentage.

0.62 × 18 = 11.16

3. Add this amount back onto the original amount.

62 + 11.16 = 73.16m

Method 2

1. Add the percentage to 100.

100 + 18 = 118%

2. Change the percentage to a decimal (by dividing by 100).

118% = 1.18 (divide by 100)

3. Multiply the amount by this decimal.

62 × 1.18 = 73.16

Example 2

A bank account contains £2000. If the interest rate is 3.7%, how much money will be in the account at the end of the year?

Method 1

1. Work out 1% of your number. Do this by dividing the amount by 100

1% = £20 ( 2000 ÷ 100 = 20)

2. Multiply this amount by your percentage.

20 × 3.7 = £74

3. Add this amount back onto the original amount.

2000 + 74 = £2074

Method 2

1. Add the percentage to 100.

100 + 3.7 = 103.7%

2. Change the percentage to a decimal (by dividing by 100).

103.7% = 1.037 (divide by 100)

3. Multiply the amount by this decimal.

2000 × 1.037 = £2074

So you can see that both methods give a final answer of £2074 in the bank account at the ned of the year.

Example 3

A tree is 4m tall. Over the next year it grows by 27%. How tall is the tree now?

Method 1

1. Work out 1% of your number. Do this by dividing the amount by 100

1% = 0.04 (4 ÷ 100 = 0.04)

2. Multiply this amount by your percentage.

0.04 × 27 = 1.08

3. Add this amount back onto the original amount.

4 + 1.08 = 5.08m

Method 2

1. Add the percentage to 100.

100 + 27 = 127%

2. Change the percentage to a decimal (by dividing by 100).

127% = 1.27 (divide by 100)

3. Multiply the amount by this decimal.

4 × 1.27 = 5.08m

So the tree is 5.08m tall.

Check out this link below to find some more questions but on percentage decreases.

Percentage Decrease Problems. 2 Easy Ways To Decrease An amount By A Percentage..

Comments

Submit a Comment

No comments yet.

working

This website uses cookies

As a user in the EEA, your approval is needed on a few things. To provide a better website experience, hubpages.com uses cookies (and other similar technologies) and may collect, process, and share personal data. Please choose which areas of our service you consent to our doing so.

For more information on managing or withdrawing consents and how we handle data, visit our Privacy Policy at: "https://hubpages.com/privacy-policy#gdpr"

Show Details
Necessary
HubPages Device IDThis is used to identify particular browsers or devices when the access the service, and is used for security reasons.
LoginThis is necessary to sign in to the HubPages Service.
Google RecaptchaThis is used to prevent bots and spam. (Privacy Policy)
AkismetThis is used to detect comment spam. (Privacy Policy)
HubPages Google AnalyticsThis is used to provide data on traffic to our website, all personally identifyable data is anonymized. (Privacy Policy)
HubPages Traffic PixelThis is used to collect data on traffic to articles and other pages on our site. Unless you are signed in to a HubPages account, all personally identifiable information is anonymized.
Amazon Web ServicesThis is a cloud services platform that we used to host our service. (Privacy Policy)
CloudflareThis is a cloud CDN service that we use to efficiently deliver files required for our service to operate such as javascript, cascading style sheets, images, and videos. (Privacy Policy)
Google Hosted LibrariesJavascript software libraries such as jQuery are loaded at endpoints on the googleapis.com or gstatic.com domains, for performance and efficiency reasons. (Privacy Policy)
Features
Google Custom SearchThis is feature allows you to search the site. (Privacy Policy)
Google MapsSome articles have Google Maps embedded in them. (Privacy Policy)
Google ChartsThis is used to display charts and graphs on articles and the author center. (Privacy Policy)
Google AdSense Host APIThis service allows you to sign up for or associate a Google AdSense account with HubPages, so that you can earn money from ads on your articles. No data is shared unless you engage with this feature. (Privacy Policy)
Google YouTubeSome articles have YouTube videos embedded in them. (Privacy Policy)
VimeoSome articles have Vimeo videos embedded in them. (Privacy Policy)
PaypalThis is used for a registered author who enrolls in the HubPages Earnings program and requests to be paid via PayPal. No data is shared with Paypal unless you engage with this feature. (Privacy Policy)
Facebook LoginYou can use this to streamline signing up for, or signing in to your Hubpages account. No data is shared with Facebook unless you engage with this feature. (Privacy Policy)
MavenThis supports the Maven widget and search functionality. (Privacy Policy)
Marketing
Google AdSenseThis is an ad network. (Privacy Policy)
Google DoubleClickGoogle provides ad serving technology and runs an ad network. (Privacy Policy)
Index ExchangeThis is an ad network. (Privacy Policy)
SovrnThis is an ad network. (Privacy Policy)
Facebook AdsThis is an ad network. (Privacy Policy)
Amazon Unified Ad MarketplaceThis is an ad network. (Privacy Policy)
AppNexusThis is an ad network. (Privacy Policy)
OpenxThis is an ad network. (Privacy Policy)
Rubicon ProjectThis is an ad network. (Privacy Policy)
TripleLiftThis is an ad network. (Privacy Policy)
Say MediaWe partner with Say Media to deliver ad campaigns on our sites. (Privacy Policy)
Remarketing PixelsWe may use remarketing pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to advertise the HubPages Service to people that have visited our sites.
Conversion Tracking PixelsWe may use conversion tracking pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to identify when an advertisement has successfully resulted in the desired action, such as signing up for the HubPages Service or publishing an article on the HubPages Service.
Statistics
Author Google AnalyticsThis is used to provide traffic data and reports to the authors of articles on the HubPages Service. (Privacy Policy)
ComscoreComScore is a media measurement and analytics company providing marketing data and analytics to enterprises, media and advertising agencies, and publishers. Non-consent will result in ComScore only processing obfuscated personal data. (Privacy Policy)
Amazon Tracking PixelSome articles display amazon products as part of the Amazon Affiliate program, this pixel provides traffic statistics for those products (Privacy Policy)