diff --git a/CMakeLists.txt b/CMakeLists.txt
index 6e35082..d90c0c4 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -482,7 +482,7 @@ CONFIGURE_PACKAGE_CONFIG_FILE("${PROJECT_NAME}.cmake.in" "${PROJECT_BINARY_DIR}/
 IF(LIBZIP_DO_INSTALL)
   INSTALL(EXPORT ${PROJECT_NAME}-targets
     FILE ${PROJECT_NAME}-targets.cmake
-    DESTINATION ${CMAKE_INSTALL_LIBDIR}/cmake/${PROJECT_NAME}
+    DESTINATION ${CMAKE_INSTALL_LIBDIR}/cmake
     )
 ENDIF()
 
@@ -494,7 +494,7 @@ EXPORT(TARGETS zip
 IF(LIBZIP_DO_INSTALL)
   INSTALL(FILES ${PROJECT_BINARY_DIR}/zipconf.h DESTINATION ${CMAKE_INSTALL_INCLUDEDIR})
   INSTALL(FILES ${PROJECT_BINARY_DIR}/${PROJECT_NAME}-config.cmake ${PROJECT_BINARY_DIR}/${PROJECT_NAME}-version.cmake
-    DESTINATION ${CMAKE_INSTALL_LIBDIR}/cmake/${PROJECT_NAME}
+    DESTINATION ${CMAKE_INSTALL_LIBDIR}/cmake
     )
 ENDIF()
 
diff --git a/libzip.cmake.in b/libzip.cmake.in
index 462439b..6caf754 100644
--- a/libzip.cmake.in
+++ b/libzip.cmake.in
@@ -1,7 +1,7 @@
 @PACKAGE_INIT@
 
 # Provide all our library targets to users.
-include("@PACKAGE_CMAKE_INSTALL_LIBDIR@/cmake/libzip/libzip-targets.cmake")
+include("@PACKAGE_CMAKE_INSTALL_LIBDIR@/../share/libzip/libzip-targets.cmake")
 
 get_filename_component(LIBZIP_CMAKE_DIR "${CMAKE_CURRENT_LIST_FILE}" PATH)
 set(LIBZIP_INCLUDE_DIRS "@PACKAGE_CMAKE_INSTALL_INCLUDEDIR@")