Sizing elements to percentage of screen width/height

This is a supplemental answer showing the implementation of a couple of the solutions mentioned.

FractionallySizedBox

If you have a single widget you can use a FractionallySizedBox widget to specify a percentage of the available space to fill. Here the green Container is set to fill 70% of the available width and 30% of the available height.

Widget myWidget() {
  return FractionallySizedBox(
    widthFactor: 0.7,
    heightFactor: 0.3,
    child: Container(
      color: Colors.green,
    ),
  );
}

Expanded

The Expanded widget allows a widget to fill the available space, horizontally if it is in a row, or vertically if it is in a column. You can use the flex property with multiple widgets to give them weights. Here the green Container takes 70% of the width and the yellow Container takes 30% of the width.

If you want to do it vertically, then just replace Row with Column.

Widget myWidget() {
  return Row(
    children: <Widget>[
      Expanded(
        flex: 7,
        child: Container(
          color: Colors.green,
        ),
      ),
      Expanded(
        flex: 3,
        child: Container(
          color: Colors.yellow,
        ),
      ),
    ],
  );
}

Supplemental code

Here is the main.dart code for your reference.

import 'package:flutter/material.dart';

void main() => runApp(MyApp());

class MyApp extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      home: Scaffold(
        appBar: AppBar(
          title: Text("FractionallySizedBox"),
        ),
        body: myWidget(),
      ),
    );
  }
}

// replace with example code above
Widget myWidget() {
  return ...
}

FractionallySizedBox may also be useful. You can also read the screen width directly out of MediaQuery.of(context).size and create a sized box based on that

MediaQuery.of(context).size.width * 0.65

if you really want to size as a fraction of the screen regardless of what the layout is.