📈 收入增长率计算器Revenue Growth Calculator
由上期与本期收入计算增长率和变化额；填写期数（年数）时同时给出复合年增长率 CAGR。本地处理。Growth rate and change from prior to current revenue; enter the number of periods (years) to also get the compound annual growth rate (CAGR). Processed locally.
使用说明与常见问题How-to & FAQ
「收入增长率计算器」是什么？What is the Revenue Growth Calculator tool?
由上期与本期收入计算增长率和变化额；填写期数（年数）时同时给出复合年增长率 CAGR。本地处理。Growth rate and change from prior to current revenue; enter the number of periods (years) to also get the compound annual growth rate (CAGR). Processed locally.
如何使用「收入增长率计算器」？How do I use the Revenue Growth Calculator tool?
在「收入增长率计算器」中，填写「上期收入」、「本期收入」、「期数（年，可选，用于 CAGR）」等参数，结果会随输入实时计算并显示在下方。In the Revenue Growth Calculator: Fill in "Prior revenue", "Current revenue", "Periods (years, optional, for CAGR)"; results are recalculated instantly as you type.
增长率和 CAGR 有什么区别？What is the difference between growth rate and CAGR?
增长率 =（本期 − 上期）÷ 上期，是整段时间的总变化。CAGR =（本期 ÷ 上期）^(1 ÷ 期数) − 1，是把总变化平摊到每一期的复合增长率，例如 5 年翻倍对应 CAGR 约 14.87%。Growth rate = (current − prior) ÷ prior, the total change over the whole span. CAGR = (current ÷ prior)^(1 ÷ periods) − 1, the compound rate per period that gives the same total; doubling over 5 years is a CAGR of about 14.87%.
哪些输入会被拒绝？Which inputs are rejected?
上期收入必须大于 0：上期为 0 时增长率没有定义，负数收入也不适用这个公式。本期收入可以为 0（增长率 −100%），但不能为负。期数须大于 0 且不超过 200，可以是小数（如 2.5 年）。Prior revenue must be more than 0: growth from 0 is undefined and the formula does not apply to negative revenue. Current revenue may be 0 (−100%) but not negative. Periods must be more than 0 and at most 200, and may be fractional (e.g. 2.5 years).
能举个计算实例吗？Can you show a worked example?
例如在「收入增长率计算器」中填 上期收入 = 100，本期收入 = 120，结果区显示：增长率：20%；变化额：20.00；倍数（本期 ÷ 上期）：1.2×For example, entering Prior revenue = 100, Current revenue = 120 in the Revenue Growth Calculator gives: Growth rate: 20%; Change: 20.00; Multiple (current ÷ prior): 1.2×
哪些输入会被检查？Which inputs are validated?
「收入增长率计算器」会检查这些输入——「上期收入」：必须填写，不能为负数；「本期收入」：必须填写；「期数（年，可选，用于 CAGR）」：不能为负数，须为整数；绝对值超过 10¹⁵ 的数也会被拒绝。不符合时结果区显示具体提示，不会给出数字。The Revenue Growth Calculator checks its inputs — "Prior revenue": required, cannot be negative; "Current revenue": required; "Periods (years, optional, for CAGR)": cannot be negative, must be a whole number; numbers above 10¹⁵ in absolute value are rejected too. When a value fails, the result area names the problem instead of showing a number.
有哪些选项可以调整？What options can I adjust?
「收入增长率计算器」的设置：「上期收入」默认 100000；「本期收入」默认 120000；「期数（年，可选，用于 CAGR）」可留空。每次生成结果都按当前设置处理。Settings in the Revenue Growth Calculator — "Prior revenue" default 100000; "Current revenue" default 120000; "Periods (years, optional, for CAGR)" optional. The result always uses the current settings.
计算结果可以作为最终依据吗？Can I rely on the result?
「收入增长率计算器」按标准公式计算，结果仅供参考；实际金额以银行、券商或税务机关的规则和四舍五入方式为准。The Revenue Growth Calculator uses standard formulas and is for estimation only; actual figures depend on your bank, broker or tax authority's rules and rounding.
「收入增长率计算器」免费吗？需要注册吗？Is the Revenue Growth Calculator free? Do I need an account?
「收入增长率计算器」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Revenue Growth Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.