unexpected behavior for the decimal places while convert a Double to a Float value (floating-point precision) using BigDecimal and DecimalFormat

I would like to convert an Double to an Float with two decimal places.

import java.math.BigDecimal;
import java.math.RoundingMode;
import java.text.DecimalFormat;

class Scratch {
    private static final DecimalFormat df = new DecimalFormat("0.00");
    
    public static void main(String[] args) {
        Double worksAsIWouldExpect = 262143.05;
        Double worksNotAsIWouldExpect = 262144.05;

        convertAndPrint(worksAsIWouldExpect);
        //DecimalFormat: 262143.05
        //Big Decimal: 262143.05
        convertAndPrint(worksNotAsIWouldExpect);
        //DecimalFormat: 262144.06
        //Big Decimal: 262144.06
    }

    public static void convertAndPrint(Double doubleValue) {
        //DecimalFormat
        String stringValueDf = df.format(doubleValue);
        float floatValue = Float.parseFloat(stringValueDf);
        System.out.println("DecimalFormat: " + floatValue);

        //Big Decimal
        BigDecimal decimalValue = new BigDecimal(doubleValue.toString());
        decimalValue = decimalValue.setScale(2, RoundingMode.HALF_DOWN);
        floatValue = decimalValue.floatValue();
        System.out.println("Big Decimal: " + floatValue);
    }
}

Output:

DecimalFormat: 262143.05
Big Decimal: 262143.05
DecimalFormat: 262144.06
Big Decimal: 262144.06

I have the problem that when converting the values with the "DecimalFormat" as well as with the "BigDecimal" -approach, i get sometimes different values (or at least ones i would not excpect)

Why is 262144.05 (Double) converting to 262144.06 (Float) and not to 262144.05 (Float)?

Because you are introducing floating point representation errors by converting to float without need. Note that all floating point types (ie float and double) have representation errors. If you want to keep more precise don't convert to float and if possible avoid double too. You can skip some of the transformations by converting doubleValue directly to BigDecimal and printing the BigDecimal too.

BigDecimal decimalValue = new BigDecimal.valueOf(doubleValue);
decimalValue = decimalValue.setScale(2, RoundingMode.HALF_DOWN);
System.out.println("Big Decimal: " + decimalValue);

You can also use DecimalFormat with the BigDecimal directly.