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colors - JavaScript Calculate brighter colour

I have a colour value in JS as a string

#ff0000

How would I go about programatically calculating a brighter/lighter version of this colour, for example #ff4848, and be able to calculate the brightness via a percentage, e.g.

increase_brightness('#ff0000', 50); // would make it 50% brighter
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function increase_brightness(hex, percent){
    // strip the leading # if it's there
    hex = hex.replace(/^s*#|s*$/g, '');

    // convert 3 char codes --> 6, e.g. `E0F` --> `EE00FF`
    if(hex.length == 3){
        hex = hex.replace(/(.)/g, '$1$1');
    }

    var r = parseInt(hex.substr(0, 2), 16),
        g = parseInt(hex.substr(2, 2), 16),
        b = parseInt(hex.substr(4, 2), 16);

    return '#' +
       ((0|(1<<8) + r + (256 - r) * percent / 100).toString(16)).substr(1) +
       ((0|(1<<8) + g + (256 - g) * percent / 100).toString(16)).substr(1) +
       ((0|(1<<8) + b + (256 - b) * percent / 100).toString(16)).substr(1);
}

/**
 * ('#000000', 50) --> #808080
 * ('#EEEEEE', 25) --> #F2F2F2
 * ('EEE     , 25) --> #F2F2F2
 **/

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