I have the following chart that I am supposed to find the percent increase in one step. The directions specifically say not to use a two step method.
10.5
12.5
14.9
17.7
21.1
25.1
So I divide 12.5 by 10.5, 14.9 by 12.5, etc.
When I do this (and round) I get about 19% increase for each one. (we are supposed to round. )
Then I have another chart that we are supposed to find the percent decrease also using the one step method.
80.2
71.4
63.5
56.5
50.3
44.8
If I use the same method I get about 12% decrease each time but the answer says 11% each time. If I do it the opposite way, for example, 71.4/80.2 and then subtract from 1.00 I would get more like 11%.
I'm just not really certain of the methodology to get the correct 11% answer.
Thank you
1. 12.5/10.5 = 1.190 = 119%.
119%-100% = 19% Increase.
2. 71.4/80.2 = 0.890 = 89.0%
89%-100% = -11% = 11% Decrease.
To find the percent increase or decrease using the one-step method, you'll need to calculate the ratio of the new value to the original value, and then convert it to a percentage.
For the chart with the percent increase:
1. Take the first value, 12.5, and divide it by the original value, 10.5. The result is 1.19 (approximately).
2. To convert it to a percentage, subtract 1 and multiply by 100. (1.19 - 1) * 100 = 19% (approximately).
3. Repeat the steps for the remaining values in the chart.
Now, for the chart with the percent decrease:
1. Take the first value, 71.4, and divide it by the original value, 80.2. The result is approximately 0.891.
2. Subtract this ratio from 1: 1 - 0.891 = 0.109 (approximately).
3. Multiply this result by 100 to convert it to a percentage: 0.109 * 100 = 10.9%.
4. Round the percentage to the nearest whole number, which gives us 11%.
It seems like you encountered a discrepancy in precision because of rounding. To get the exact answer of 11%, you need to round the intermediate ratios to a greater degree of precision. Try rounding to at least three decimal places before subtracting from 1 and converting to a percentage.
Please note that the difference between 10.9% and 11% is minimal, and both are acceptable answers within the typical range of rounding.