I am trying to create a UI for a game that I’m making in LibGDX. However, when I use world units, the mouse input does not correspond correctly and is off depending on the screen size. How can I make sure that the mouse input is always the same as what we see on the screen?

public class MainMenuScreen implements Screen {

    final ClientLauncher game;

    private Texture playButtonInactive;
    private Texture playButtonClicked;
    private Texture playButtonActive;
    
    // Camera and Viewport stuff
    private OrthographicCamera camera;
    private Viewport viewport;
    Sprite theWorld;
    // World unit
    private static final float WORLD_WIDTH = 1920;
    private static final float WORLD_HEIGHT = 1080;

 float x = (float)ClientLauncher.width / 9;
 float y = (float)ClientLauncher.height / 2;
 if ((Gdx.input.getX() > x && Gdx.input.getX() < x + playButtonActive.getWidth()) && (Gdx.input.getY() < y - 100 && Gdx.input.getY() > y - 100 - playButtonActive.getHeight())){
            game.batch.draw(playButtonInactive,x,y + 100);
            if(Gdx.input.isButtonPressed(Input.Buttons.LEFT)){
                game.batch.draw(playButtonClicked,x,y + 100);
                game.setScreen(new GameScreen(game));
            }
        }
        else{
            game.batch.draw(playButtonActive,x,y + 100);
        }

the ClientLauncher has a width and height of 1920 and 1080 so it’s the same as my world units.
Thank you!

This is only a quick demo so I am hard coding the values but I’m trying to understand the structure of world units and how to use them when drawing and have everything in sync.