If you dig deeper into the math, it's a 55% improvement rather than 57%. That sounds like a trivial difference I know, but the logic is important for future comparisons. Let me explain.
Presume the new efficiency was 99% and the old efficiency was 38%. Naively, that sounds like 2.6x better. However, it's far more constructive to look at it in terms of how close it comes to 100%. So really, the formula is (100 - 38) ÷ (100 - 99) which means it's not 2.6x more efficient, but 62x more efficient. To get the percentage improvement, we add a little more to the formula: (100 - 38) ÷ (100 - 99) × 100 - 100 = 6100% improvement.
With the original numbers we calculate (100 - 38) ÷ (100 - 60) × 100 - 100 = 55% improvement.