Δ 绝对变化计算器（含相对变化与倍数）Absolute Change Calculator (with Relative Change & Ratio)
算从旧值到新值的绝对变化 = 新值 − 旧值，以及变化的大小、相对（百分比）变化和新旧之比；两个值本身是百分比时，提示用“百分点”表示绝对变化。本地处理。Absolute change from the old to the new value = new − old, with its size, the relative (percentage) change and the new-to-old ratio. When both values are percentages, it reminds you that the absolute change is in percentage points. Processed locally.
使用说明与常见问题How-to & FAQ
「绝对变化计算器（含相对变化与倍数）」是什么？What is the Absolute Change Calculator (with Relative Change & Ratio) tool?
算从旧值到新值的绝对变化 = 新值 − 旧值，以及变化的大小、相对（百分比）变化和新旧之比；两个值本身是百分比时，提示用“百分点”表示绝对变化。本地处理。Absolute change from the old to the new value = new − old, with its size, the relative (percentage) change and the new-to-old ratio. When both values are percentages, it reminds you that the absolute change is in percentage points. Processed locally.
如何使用「绝对变化计算器（含相对变化与倍数）」？How do I use the Absolute Change Calculator (with Relative Change & Ratio) tool?
在「绝对变化计算器（含相对变化与倍数）」中，填写「旧值（初始值）」、「新值（最终值）」等参数，结果会随输入实时计算并显示在下方。In the Absolute Change Calculator (with Relative Change & Ratio): Fill in "Old (initial) value", "New (final) value"; results are recalculated instantly as you type.
绝对变化和相对变化有什么区别？How is absolute change different from relative change?
绝对变化是差值本身（新 − 旧），单位和原数据一样；相对变化是差值占旧值的比例，用 % 表示。价格从 100 涨到 120，绝对变化 +20，相对变化 +20%。Absolute change is the difference itself (new − old), in the same units as the data; relative change is that difference as a share of the old value, in %. A price rising from 100 to 120 changes by +20 absolutely and +20% relatively.
什么是百分点？What is a percentage point?
两个百分比之间的绝对差用百分点表示。利率从 4% 升到 5% 是上升 1 个百分点，但相对上升了 25%。The absolute difference between two percentages is measured in percentage points. An interest rate going from 4% to 5% rises by 1 percentage point, which is a 25% relative rise.
旧值为负数怎么算？What if the old value is negative?
绝对变化照常是新 − 旧。相对变化按 差值 ÷ |旧值| 计算，这样从 −10 到 −5 显示为 +50%（变大）。负数的百分比变化容易误解，必要时只看绝对变化。The absolute change is still new − old. The relative change uses difference ÷ |old|, so −10 to −5 shows +50% (it went up). Percentage changes on negative values are easy to misread, so rely on the absolute change when in doubt.
能举个计算实例吗？Can you show a worked example?
例如在「绝对变化计算器（含相对变化与倍数）」中填 旧值（初始值） = 100，新值（最终值） = 120，结果区显示：绝对变化（新 − 旧）：+20；变化大小 |新 − 旧|：20；方向：增加；相对变化：+20%；新值 ÷ 旧值：1.2×For example, entering Old (initial) value = 100, New (final) value = 120 in the Absolute Change Calculator (with Relative Change & Ratio) gives: Absolute change (new − old): +20; Size of change |new − old|: 20; Direction: increase; Relative change: +20%; New ÷ old: 1.2×
有哪些选项可以调整？What options can I adjust?
「绝对变化计算器（含相对变化与倍数）」的设置：「旧值（初始值）」默认 100；「新值（最终值）」默认 120。每次生成结果都按当前设置处理。Settings in the Absolute Change Calculator (with Relative Change & Ratio) — "Old (initial) value" default 100; "New (final) value" default 120. The result always uses the current settings.
计算精度如何？How precise are the results?
「绝对变化计算器（含相对变化与倍数）」使用 JavaScript 双精度浮点数（约 15–16 位有效数字）；极大或极小的数值可能存在精度误差。The Absolute Change Calculator (with Relative Change & Ratio) uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.
「绝对变化计算器（含相对变化与倍数）」免费吗？需要注册吗？Is the Absolute Change Calculator (with Relative Change & Ratio) free? Do I need an account?
「绝对变化计算器（含相对变化与倍数）」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 Absolute Change Calculator (with Relative Change & Ratio) is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.