Hi
Can anyone help with this little problem ,
I have to compare the percentage change for the following numbers from a graph (Tonnes) Comparing the lower years with the year 2050
Year 2050 = 14672.873
2046 = 14745.197
1990 = 6096.0
I have worked out the following :-
14672.873 / 14745.197 = 99.5%
14672.873 / 6096 = 2.406967356
I am not sure how many decimal places to use ???
if I multiply 14745.197 by 99.5% I get 14671.47102 not the same as 14672.873
Can anyone guide me the right way .. I am losing lots of time on this exercise .... A BIG Thank you !!!
I would do percentage to the tenths decimal place, as in 99.5 Of course, that truncation will result in an error. YOu could take the percentage to five places, that eliminates the error, but in a practical sense, it is silly.
On the second comparison 1990 to 2050, it should be..
6096/ 14745.197 =41.3 percent
Thank you .. very much !!!!
To compare the percentage change, you need to calculate the percentage change between the lower years and the year 2050. Here's a step-by-step explanation of how to do it correctly:
1. Calculate the percentage change between 2046 and 2050:
- Subtract the initial value (2046) from the final value (2050): 14745.197 - 14672.873 = 72.324
- Divide the difference by the initial value: 72.324 / 14745.197 ≈ 0.0049 (rounded to four decimal places)
- Multiply the result by 100 to get the percentage: 0.0049 * 100 ≈ 0.49% (rounded to two decimal places)
2. Calculate the percentage change between 1990 and 2050:
- Subtract the initial value (1990) from the final value (2050): 14672.873 - 6096.0 = 8576.873
- Divide the difference by the initial value: 8576.873 / 6096.0 ≈ 1.406967356 (rounded to 10 decimal places)
- Multiply the result by 100 to get the percentage: 1.406967356 * 100 ≈ 140.70% (rounded to two decimal places)
When calculating percentages, it's generally acceptable to round to two decimal places unless more precision is required by your specific context. In this case, using two decimal places should be sufficient.
It's important to note that multiplying 14745.197 by 99.5% will not give you the correct result because 99.5% is the relative change, not the actual value. To calculate the new value after a percentage change, you need to multiply the initial value by (1 + percentage change). For example:
- New Value = Initial Value * (1 + Percentage Change)
- New Value = 14745.197 * (1 + 0.495) ≈ 14672.872 (rounded to three decimal places)
I hope this explanation helps! Let me know if you have any further questions.