In January Dylan worked a total of 35 hours, in February he worked 45.5 hours - by what percentage did Dylan's working hours increase in February?
Answers
Answer:
45.5 – 35 hours = 10.5 hours. We can see that Dylan worked 10.5 hours more in February than he did in January – this is his increase.
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Dylan's hours were 23% lower in March than in February.
Month Hours Worked Percentage Change
February 45.5 30%
March 35 -23%
Step-by-step explanation:
To tackle this problem first we calculate the difference in hours between the new and old numbers. 45.5 – 35 hours = 10.5 hours. We can see that Dylan worked 10.5 hours more in February than he did in January – this is his increase. To work out the increase as a percentage it is now necessary to divide the increase by the original (January) number:
10.5 ÷ 35 = 0.3 (See our division page for instruction and examples of division.)
Finally, to get the percentage we multiply the answer by 100. This simply means moving the decimal place two columns to the right.
0.3 × 100 = 30
Dylan therefore worked 30% more hours in February than he did in January.
In March Dylan worked 35 hours again – the same as he did in January (or 100% of his January hours). What is the percentage difference between Dylan’s February hours (45.5) and his March hours (35)? You may think that as there was a 30% increase between Dylan’s January hours (35) and February (45.5) hours that there will be a 30% decrease between his February and March hours. This assumption is incorrect – let’s calculate the difference.
First calculate the decrease in hours, that is: 45.5 – 35 = 10.5
Then divide the decrease by the original number (February hours) so:
10.5 ÷ 45.5 = 0.23 (to two decimal places).
Finally multiply 0.23 by 100 to give 23%. Dylan’s hours were 23% lower in March than in February.
Sometimes it is easier to show percentage decrease as a negative number – to do this follow the formula above to calculate percentage increase – your answer will be a negative number if there was a decrease. In Dylan’s case the decrease works out at -15.5. -10.5 ÷ 45.5 = -0.23. -0.23 × 100 = -23%.
Dylan’s hours could be displayed in a data table as:
Month Hours
Worked Percentage
Change
January 35
February 45.5 30%
March 35 -23%
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Answer:
45.5/100-35/100=
Step-by-step explanation:
0.455-0.35=0.105
So
0.105× 100= 10.5 % increases in Feburary