Sorry this is a really basic question but it appears my brain has stopped working on this Friday morning.

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If I want to say one number is x% larger than another how do I calculate this?\nIt's not necessarily a % change as they are both showing the same thing under the same time period.

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So for instance site one has $3.5m of inventory and site two has $4.1m of inventory, I want to express that site two has x% more inventory than site one how would I show that?

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Would it be site 2 has 7.9% more than site 1?

\n

","likes":null,"suggested_sort":null,"banned_at_utc":null,"view_count":null,"archived":false,"no_follow":true,"is_crosspostable":false,"pinned":false,"over_18":false,"all_awardings":[],"awarders":[],"media_only":false,"can_gild":false,"spoiler":false,"locked":false,"author_flair_text":null,"treatment_tags":[],"visited":false,"removed_by":null,"num_reports":null,"distinguished":null,"subreddit_id":"t5_2x23b","author_is_blocked":false,"mod_reason_by":null,"removal_reason":null,"link_flair_background_color":null,"id":"1dvstgc","is_robot_indexable":true,"num_duplicates":0,"report_reasons":null,"author":"Gyratetojackjarvis","discussion_type":null,"num_comments":10,"send_replies":true,"media":null,"contest_mode":false,"author_patreon_flair":false,"author_flair_text_color":null,"permalink":"/r/theydidthemath/comments/1dvstgc/request_how_can_i_work_out_how_much_larger_one/","whitelist_status":"all_ads","stickied":false,"url":"https://www.reddit.com/r/theydidthemath/comments/1dvstgc/request_how_can_i_work_out_how_much_larger_one/","subreddit_subscribers":1548266,"created_utc":1720166885,"num_crossposts":0,"mod_reports":[],"is_video":false}}],"before":null}},{"kind":"Listing","data":{"after":null,"dist":null,"modhash":"","geo_filter":"","children":[{"kind":"t1","data":{"subreddit_id":"t5_2x23b","approved_at_utc":null,"author_is_blocked":false,"comment_type":null,"awarders":[],"mod_reason_by":null,"banned_by":null,"replies":"","author_flair_type":"text","total_awards_received":0,"subreddit":"theydidthemath","author_flair_template_id":null,"likes":null,"profile_over_18":false,"user_reports":[],"saved":false,"id":"lbpu0yf","banned_at_utc":null,"mod_reason_title":null,"gilded":0,"archived":false,"collapsed_reason_code":null,"no_follow":true,"author":"Angzt","can_mod_post":false,"created_utc":1720168831,"send_replies":true,"parent_id":"t3_1dvstgc","score":1,"approved_by":null,"author_premium":false,"mod_note":null,"all_awardings":[],"collapsed":false,"body":"Take the larger number, divide by the smaller number. Subtract 1 from the result and then multiply by 100%.\n\nFor your example: \n$4.1m / $3.5m =~ 1.1714 \n1.1714 - 1 = 0.1714 \n0.1714 * 100% = **17.14%**\n\nOr, in a single formula: Let s be the smaller number and b be the bigger number: \n(b/s - 1) * 100%\n\n____\n\nWhat's going on here? \nLet's go at it from the back:\n\nYou want to express how many percent more one thing is than another. \nPercent comes from the Latin \"per centum\", meaning \"by a hundred\". So it describes how many hundredths something is. That's why 100% is one whole thing, 200% are two whole things, 50% is 0.5 or half a whole thing, etc. \nThat's why out 0.714 is 17.14%. \n\nSo why do we go from 1.1714 for 0.1714? \nBecause the 1.1714 is the ratio between the two values. So the bigger number is 1.1714 times as much as the small number. It's 117.14% as much. But that's now what you want. You want to know how much *more* it is. Which means we take away one whole thing of the smaller number, hence the subtraction of 1. \nIf you have one cake and I have one and a half cakes, I have one and a half times as many cakes as you. But only 50% more cakes than you.\n\nAnd the division just tells us how many times the bigger number would fit into the smaller one. Or, in other words, how many times as big it is.","edited":false,"top_awarded_type":null,"author_flair_css_class":null,"name":"t1_lbpu0yf","profile_img":"https://www.redditstatic.com/avatars/defaults/v2/avatar_default_5.png","is_submitter":false,"downs":0,"author_flair_richtext":[],"author_patreon_flair":false,"body_html":"Take the larger number, divide by the smaller number. Subtract 1 from the result and then multiply by 100%.

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For your example:

\n$4.1m / $3.5m =~ 1.1714

\n1.1714 - 1 = 0.1714

\n0.1714 * 100% = **17.14%**

\n\n

Or, in a single formula: Let s be the smaller number and b be the bigger number:

\n(b/s - 1) * 100%

\n\n

\n\n

What's going on here?

\nLet's go at it from the back:

\n\n

You want to express how many percent more one thing is than another.

\nPercent comes from the Latin "per centum", meaning "by a hundred". So it describes how many hundredths something is. That's why 100% is one whole thing, 200% are two whole things, 50% is 0.5 or half a whole thing, etc.

\nThat's why out 0.714 is 17.14%.

\n\n

So why do we go from 1.1714 for 0.1714?

\nBecause the 1.1714 is the ratio between the two values. So the bigger number is 1.1714 times as much as the small number. It's 117.14% as much. But that's now what you want. You want to know how much *more* it is. Which means we take away one whole thing of the smaller number, hence the subtraction of 1.

\nIf you have one cake and I have one and a half cakes, I have one and a half times as many cakes as you. But only 50% more cakes than you.

\n\n

And the division just tells us how many times the bigger number would fit into the smaller one. Or, in other words, how many times as big it is.

\n

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