diff --git a/changelogs/fragments/fix-dnf-filtering-for-installed-package-name.yml b/changelogs/fragments/fix-dnf-filtering-for-installed-package-name.yml
new file mode 100644
index 00000000000..f8a788a9920
--- /dev/null
+++ b/changelogs/fragments/fix-dnf-filtering-for-installed-package-name.yml
@@ -0,0 +1,2 @@
+bugfixes:
+  - dnf module - Use all components of a package name to determine if it's installed (https://github.com/ansible/ansible/issues/75311).
diff --git a/lib/ansible/modules/dnf.py b/lib/ansible/modules/dnf.py
index 8ffe61ad5c6..183036a9892 100644
--- a/lib/ansible/modules/dnf.py
+++ b/lib/ansible/modules/dnf.py
@@ -391,15 +391,7 @@ class DnfModule(YumDnf):
 
         return result
 
-    def _packagename_dict(self, packagename):
-        """
-        Return a dictionary of information for a package name string or None
-        if the package name doesn't contain at least all NVR elements
-        """
-
-        if packagename[-4:] == '.rpm':
-            packagename = packagename[:-4]
-
+    def _split_package_arch(self, packagename):
         # This list was auto generated on a Fedora 28 system with the following one-liner
         #   printf '[ '; for arch in $(ls /usr/lib/rpm/platform); do  printf '"%s", ' ${arch%-linux}; done; printf ']\n'
         redhat_rpm_arches = [
@@ -414,15 +406,26 @@ class DnfModule(YumDnf):
             "sparc", "sparcv8", "sparcv9", "sparcv9v", "x86_64"
         ]
 
-        rpm_arch_re = re.compile(r'(.*)\.(.*)')
+        name, delimiter, arch = packagename.rpartition('.')
+        if name and arch and arch in redhat_rpm_arches:
+            return name, arch
+        return packagename, None
+
+    def _packagename_dict(self, packagename):
+        """
+        Return a dictionary of information for a package name string or None
+        if the package name doesn't contain at least all NVR elements
+        """
+
+        if packagename[-4:] == '.rpm':
+            packagename = packagename[:-4]
+
         rpm_nevr_re = re.compile(r'(\S+)-(?:(\d*):)?(.*)-(~?\w+[\w.+]*)')
         try:
             arch = None
-            rpm_arch_match = rpm_arch_re.match(packagename)
-            if rpm_arch_match:
-                nevr, arch = rpm_arch_match.groups()
-                if arch in redhat_rpm_arches:
-                    packagename = nevr
+            nevr, arch = self._split_package_arch(packagename)
+            if arch:
+                packagename = nevr
             rpm_nevr_match = rpm_nevr_re.match(packagename)
             if rpm_nevr_match:
                 name, epoch, version, release = rpm_nevr_re.match(packagename).groups()
@@ -682,7 +685,20 @@ class DnfModule(YumDnf):
 
     def _is_installed(self, pkg):
         installed = self.base.sack.query().installed()
-        if installed.filter(name=pkg):
+
+        package_spec = {}
+        name, arch = self._split_package_arch(pkg)
+        if arch:
+            package_spec['arch'] = arch
+
+        package_details = self._packagename_dict(pkg)
+        if package_details:
+            package_details['epoch'] = int(package_details['epoch'])
+            package_spec.update(package_details)
+        else:
+            package_spec['name'] = name
+
+        if installed.filter(**package_spec):
             return True
         else:
             return False
diff --git a/test/integration/targets/dnf/tasks/filters.yml b/test/integration/targets/dnf/tasks/filters.yml
index d5e9ee906b2..ce7c7e9bebd 100644
--- a/test/integration/targets/dnf/tasks/filters.yml
+++ b/test/integration/targets/dnf/tasks/filters.yml
@@ -98,6 +98,19 @@
         allow_downgrade: true
         disable_gpg_check: true
 
+    - name: Verify toaster is not upgraded with state=installed
+      dnf:
+        name: "{{ item }}"
+        state: installed
+      register: installed
+      loop:
+        - toaster
+        - toaster.noarch
+        - toaster-1.2.3.4-1.el8.noarch
+
+    - assert:
+        that: "[0, 1, 2] | map('extract', installed.results, 'changed') == [False, False, False]"
+
     - name: Ask for pending updates with bugfix=true and security=true
       dnf:
         name: '*'
@@ -118,6 +131,21 @@
           - '"Installed: oven-1.2.3.5-1.el8.noarch" in update_bugfix.results'
           - '"Removed: oven-1.2.3.4-1.el8.noarch" in update_bugfix.results'
 
+    - name: Install old version of toaster again
+      dnf:
+        name: "{{ updateinfo_repo }}/toaster-1.2.3.4-1.el8.noarch.rpm"
+        allow_downgrade: true
+        disable_gpg_check: true
+
+    - name: Verify toaster is upgraded with state=latest
+      dnf:
+        name: toaster.noarch
+        state: latest
+      register: result
+
+    - assert:
+        that: result.changed
+
   always:
     - name: Remove installed packages
       dnf: