# Percentage with positive and negative numbers

• Jun 11th 2012, 02:31 PM
Percentage with positive and negative numbers
Hello,

This is my first post on the forum. I've been grapling with this for days and am glad I found this forum.

My math problem is this. I need a formula to calculate percentages of a numbers range with negative numbers. More specifically, I'm using golf scores and need to calculate percentage as a range of scores for a given round.

For example if -8 is the low round and +8 is the high round, I need all other scores as a percentage. How can I express this in excel with a formula?

I know -8 would be 1.000% and +8 .000% but how do I formulate all the other scores in between?

Thank you so much in advance.

Erik
• Jun 11th 2012, 03:00 PM
skeeter
Re: Percentage with positive and negative numbers
what would a score of 100% represent? ... 8 strokes above par? what does that number say that "8 strokes over par" doesn't?

you could use percentages in a more clear/understandable manner if you used them in the following manner ...

1. percentage of the field scoring below par / above par

2. percentage of the field who scored within 2 or less / more strokes of par

... lots of other practical examples can be devised. the point is, percentages are more meaningful when they are used for the basis of a comparison.
• Jun 12th 2012, 06:04 AM
Re: Percentage with positive and negative numbers
Thanks for the reply. It needs to be a percentage for a comparison ranking I'm using. It looks at round scores for all golfers in the field and gives them a percentage based on the best score for that round.

I figure the answer lies in getting the range between the best and worst scores of the specific round but I just don't know how to write the formula to derive the percentage.
• Jun 12th 2012, 07:25 AM
skeeter
Re: Percentage with positive and negative numbers
Quote:

Thanks for the reply. It needs to be a percentage for a comparison ranking I'm using. It looks at round scores for all golfers in the field and gives them a percentage based on the best score for that round.

I figure the answer lies in getting the range between the best and worst scores of the specific round but I just don't know how to write the formula to derive the percentage.

see if this works ...

let $\displaystyle w$ represent the worst score and $\displaystyle b$ represent the best score

to get a linear relationship ...

$\displaystyle (w,0)$ $\displaystyle (b,100)$

$\displaystyle y = \frac{100}{b-w}(x - w)$

where $\displaystyle y$ = the desired percentage "score" , and $\displaystyle x$ = a specific golfer's score in terms of par (+ over , - under)

so, let's say for a certain round the best score is b = -8 and the worst score is w = +6

you have a golfer who scores 1 over par (+1)

$\displaystyle y = \frac{100}{-8 - 6}(1 - 6)$

$\displaystyle y$ = 35.7%
• Jun 12th 2012, 08:09 AM