human
the weighted average grant date fair value of options granted during 2012, 2011, and 2010 was $13, $19 and $20 per share, respectively. the total intrinsic value of options exercised during the years ended december 31, 2012, 2011 and 2010, was $19.0 million, $4.2 million and $15.6 million, respectively. in 2012, the company granted 931340 shares of restricted class a common stock and 4048 shares of restricted stock units. restricted common stock and restricted stock units generally have a vesting period of 2 to 4 years. the fair value related to these grants was $54.5 million, which is recognized as compensation expense on an accelerated basis over the vesting period. beginning with restricted stock grants in september 2010, dividends are accrued on restricted class a common stock and restricted stock units and are paid once the restricted stock vests. in 2012, the company also granted 138410 performance shares. the fair value related to these grants was $7.7 million, which is recognized as compensation expense on an accelerated and straight-lined basis over the vesting period. the vesting of these shares is contingent on meeting stated performance or market conditions. the following table summarizes restricted stock, restricted stock units, and performance shares activity for 2012: number of shares weighted average grant date fair value outstanding at december 31, 2011. . . . . . . . . . . . . . 1432610 $57.
|  | Number of Shares | WeightedAverageGrant DateFair Value |
| --------- | --------- | --------- |
| Outstanding at December 31, 2011 | 1,432,610 | $57 |
| Granted | 1,073,798 | 54 |
| Vested | (366,388) | 55 |
| Cancelled | (226,493) | 63 |
| Outstanding at December 31, 2012 | 1,913,527 | 54 |
outstanding at december 31, 2012. . . . . . . . . . . . . . 1913527 54 the total fair value of restricted stock, restricted stock units, and performance shares that vested during the years ended december 31, 2012, 2011 and 2010, was $20.9 million, $11.6 million and $10.3 million, respectively. eligible employees may acquire shares of class a common stock using after-tax payroll deductions made during consecutive offering periods of approximately six months in duration. shares are purchased at the end of each offering period at a price of 90% (90%) of the closing price of the class a common stock as reported on the nasdaq global select market. compensation expense is recognized on the dates of purchase for the discount from the closing price. in 2012, 2011 and 2010, a total of 27768, 32085 and 21855 shares, respectively, of class a common stock were issued to participating employees. these shares are subject to a six-month holding period. annual expense of $0.1 million, $0.2 million and $0.1 million for the purchase discount was recognized in 2012, 2011 and 2010, respectively. non-executive directors receive an annual award of class a common stock with a value equal to $75000. non-executive directors may also elect to receive some or all of the cash portion of their annual stipend, up to $25000, in shares of stock based on the closing price at the date of distribution. as a result, 40260, 40585 and 37350 shares of class a common stock were issued to non-executive directors during 2012, 2011 and 2010, respectively. these shares are not subject to any vesting restrictions. expense of $2.2 million, $2.1 million and $2.4 million related to these stock-based payments was recognized for the years ended december 31, 2012, 2011 and 2010, respectively. 19. fair value measurements in general, the company uses quoted prices in active markets for identical assets to determine the fair value of marketable securities and equity investments. level 1 assets generally include u.s. treasury securities, equity securities listed in active markets, and investments in publicly traded mutual funds with quoted market prices. if quoted prices are not available to determine fair value, the company uses other inputs that are directly observable. assets included in level 2 generally consist of asset- backed securities, municipal bonds, u.s. government agency securities and interest rate swap contracts. asset-backed securities, municipal bonds and u.s. government agency securities were measured at fair value based on matrix pricing using prices of similar securities with similar inputs such as maturity dates, interest rates and credit ratings. the company determined the fair value of its interest rate swap contracts using standard valuation models with market-based observable inputs including forward and spot exchange rates and interest rate curves. .
Please answer the following questions with expressions if necessary.
what was the total value of outstanding balance in 2011?
assistant
multiply(1432610, 57)
human
what was the number of shares in 2012?
assistant
1913527
human
and what was the weighted average grant date fair value of each of these shares?
assistant
54
human
what was, then, the total value of those shares, or the total value of outstanding balance?
assistant
multiply(1432610, 57), multiply(1913527, 54)
human
and what is, then, the change in this total value of outstanding balance form 2011 to 2012?
assistant
multiply(1432610, 57), multiply(1913527, 54), subtract(#1, #0)
human
how much does this change represent in relation to that total value in 2011, in percentage?
assistant
multiply(1432610, 57), multiply(1913527, 54), subtract(#1, #0), divide(#2, #0)