diff --git a/src/lib/server/collection-ai-findings.test.ts b/src/lib/server/collection-ai-findings.test.ts
index 243e60b..ea326e1 100644
--- a/src/lib/server/collection-ai-findings.test.ts
+++ b/src/lib/server/collection-ai-findings.test.ts
@@ -218,6 +218,23 @@ describe("buildDocFindings", () => {
     ]);
   });
 
+  it("never says '0 are still outstanding' for float noise", () => {
+    expect(toFollow({ order_qty: 0.1 + 0.2, quantity: 0.3, qty_collected: 0.3 })).not.toContainEqual(
+      expect.stringContaining("still outstanding"),
+    );
+  });
+
+  it("does not flag an order-line mismatch that is only float noise", () => {
+    expect(
+      buildDocFindings({
+        ...base,
+        read: read([dl({ line_no: 1, quantity: 0.3 })]),
+        poLines: [pl({ order_qty: 0.1 + 0.2, quantity: 0.3, qty_collected: 0.3 })],
+        pairs: [{ doc_line_no: 1, po_line_id: "p1" }],
+      }),
+    ).toEqual([]);
+  });
+
   it("prints a single-spaced placeholder for a null document quantity", () => {
     expect(
       buildDocFindings({
diff --git a/src/lib/server/collection-ai-findings.ts b/src/lib/server/collection-ai-findings.ts
index 4898353..2863f9d 100644
--- a/src/lib/server/collection-ai-findings.ts
+++ b/src/lib/server/collection-ai-findings.ts
@@ -13,9 +13,14 @@ export type PoLineLite = {
 
 export type LinePair = { doc_line_no: number; po_line_id: string | null };
 
+/** Rounded to 3 decimals, so float noise never prints or compares. */
+function round3(n: number): number {
+  return Math.round(n * 1000) / 1000;
+}
+
 /** 40 not 40.0; at most 3 decimals so float noise never prints. */
 function fmt(n: number): string {
-  return String(Math.round(n * 1000) / 1000);
+  return String(round3(n));
 }
 
 /** Ordered = order_qty, falling back to quantity when order_qty is 0. */
@@ -90,7 +95,7 @@ export function buildDocFindings(input: {
 
   for (const { doc, po } of resolved) {
     if (po && doc.to_follow === 0) {
-      const outstanding = ordered(po) - po.qty_collected;
+      const outstanding = round3(ordered(po) - po.qty_collected);
       if (outstanding > 0) {
         out.push(
           `${po.description}: supplier shows nothing to follow, but ${fmt(outstanding)} are still outstanding.`,
@@ -100,7 +105,7 @@ export function buildDocFindings(input: {
   }
 
   for (const { po } of resolved) {
-    if (po && po.order_qty > 0 && po.quantity > 0 && po.order_qty !== po.quantity) {
+    if (po && po.order_qty > 0 && po.quantity > 0 && round3(po.order_qty) !== round3(po.quantity)) {
       out.push(
         `${po.description}: order line says ${fmt(po.quantity)} but the PO quantity is ${fmt(po.order_qty)}.`,
       );