Read the following texts and table with financial data from an S&P 500 earnings report carefully.Based on the question-answer history (if provided), answer the last question. The answer may require mathematical calculation based on the data provided.


stock performance graph this performance graph shall not be deemed 201cfiled 201d for purposes of section 18 of the exchange act , or incorporated by reference into any filing of quintiles ims holdings , inc . under the exchange act or under the securities act , except as shall be expressly set forth by specific reference in such filing . the following graph shows a comparison from may 9 , 2013 ( the date our common stock commenced trading on the nyse ) through december 31 , 2016 of the cumulative total return for our common stock , the standard & poor 2019s 500 stock index ( 201cs&p 500 201d ) and a select peer group . the peer group consists of cerner corporation , charles river laboratories , inc. , dun & bradstreet corporation , equifax inc. , icon plc , ihs markit ltd. , inc research holdings , laboratory corporation of america holdings , nielsen n.v. , parexel international corporation , inc. , pra health sciences , inc. , thomson reuters corporation and verisk analytics , inc . the companies in our peer group are publicly traded information services , information technology or contract research companies , and thus share similar business model characteristics to quintilesims , or provide services to similar customers as quintilesims . many of these companies are also used by our compensation committee for purposes of compensation benchmarking . the graph assumes that $ 100 was invested in quintilesims , the s&p 500 and the peer group as of the close of market on may 9 , 2013 , assumes the reinvestments of dividends , if any . the s&p 500 and our peer group are included for comparative purposes only . they do not necessarily reflect management 2019s opinion that the s&p 500 and our peer group are an appropriate measure of the relative performance of the stock involved , and they are not intended to forecast or be indicative of possible future performance of our common stock . s&p 500 quintilesims peer group . <table class='wikitable'><tr><td>1</td><td>-</td><td>5/9/2013</td><td>12/31/2013</td><td>12/31/2014</td><td>12/31/2015</td><td>12/31/2016</td></tr><tr><td>2</td><td>q</td><td>$ 100</td><td>$ 110</td><td>$ 140</td><td>$ 163</td><td>$ 181</td></tr><tr><td>3</td><td>peer group</td><td>$ 100</td><td>$ 116</td><td>$ 143</td><td>$ 151</td><td>$ 143</td></tr><tr><td>4</td><td>s&p 500</td><td>$ 100</td><td>$ 114</td><td>$ 127</td><td>$ 126</td><td>$ 138</td></tr></table> item 6 . selected financial data we have derived the following consolidated statements of income data for 2016 , 2015 and 2014 and consolidated balance sheet data as of december 31 , 2016 and 2015 from our audited consolidated financial .
Question: what was the value of the q stock in 2014?
Answer: 140.0
Question: and what was the change in this value since may 2013?
Answer: 40.0
Question: how much did this change represent in relation to that value in may 2013?

0.4