How will you convert isobutyl alcohol to tertiary butyl alcohol

isobutyl alcohol   ^{dil. Sulphuric acid}       2-Methyl- propene       ^HBr                               2-Bromo 2- Methyl - propane   ^{Alc. KOH}       Tertiary butyl alcohol 
                                      ^{443 K                                                            hydrogen Peroxide}  

It was impossible for me to draw the structures so I've shown the answer like this . Hope u understand .