I need help understanding the math behind this question. I have included the solution but I'm not sure how they got those fractions and income shares. Would greatly appreciate it if you showed me how to get to the answer step by step

Question 7.1 [4 points] Consider an economy with 5 workers indexed by a} = 1, 2,3,4, 5, with the following wages: 101 = 8,102 = 2,103 = 10,1114 = 4,105 = 6. Sketch the Lorenz curve for this economy and the Lorenz curve corresponding to an economy with perfectly equal income. Properly label the x and y- axis. Answer We sort the incomes of workers, split them into quintiles and compute the cumulative share of income acquired by each quintile: 08 is 38 8 93 1 80' '1_15'2_15'3_15'4_15'5_ ' We then plot these points in the gure. The perfectrequality Lorenz curve corresponds to the income shares 80 = 0,81 = 0.2, 82 = 0.4,83 = 05,84 = 0.8, 85 = 1