republic services , inc . notes to consolidated financial statements 2014 ( continued ) credit exposure , we continually monitor the credit worthiness of the financial institutions where we have deposits . concentrations of credit risk with respect to trade accounts receivable are limited due to the wide variety of customers and markets in which we provide services , as well as the dispersion of our operations across many geographic areas . we provide services to commercial , industrial , municipal and residential customers in the united states and puerto rico . we perform ongoing credit evaluations of our customers , but generally do not require collateral to support customer receivables . we establish an allowance for doubtful accounts based on various factors including the credit risk of specific customers , age of receivables outstanding , historical trends , economic conditions and other information . accounts receivable , net accounts receivable represent receivables from customers for collection , transfer , recycling , disposal and other services . our receivables are recorded when billed or when the related revenue is earned , if earlier , and represent claims against third parties that will be settled in cash . the carrying value of our receivables , net of the allowance for doubtful accounts and customer credits , represents their estimated net realizable value . provisions for doubtful accounts are evaluated on a monthly basis and are recorded based on our historical collection experience , the age of the receivables , specific customer information and economic conditions . we also review outstanding balances on an account-specific basis . in general , reserves are provided for accounts receivable in excess of 90 days outstanding . past due receivable balances are written-off when our collection efforts have been unsuccessful in collecting amounts due . the following table reflects the activity in our allowance for doubtful accounts for the years ended december 31: .

2014: balance at beginning of year: 38.3
additions charged to expense: 22.6
accounts written-off: -22
balance at end of year: 38.9
2013: balance at beginning of year: 45.3
additions charged to expense: 16.1
accounts written-off: -23.1
balance at end of year: 38.3
2012: balance at beginning of year: 48.1
additions charged to expense: 29.7
accounts written-off: -32.5
balance at end of year: 45.3

restricted cash and marketable securities as of december 31 , 2014 , we had $ 115.6 million of restricted cash and marketable securities . we obtain funds through the issuance of tax-exempt bonds for the purpose of financing qualifying expenditures at our landfills , transfer stations , collection and recycling centers . the funds are deposited directly into trust accounts by the bonding authorities at the time of issuance . as the use of these funds is contractually restricted , and we do not have the ability to use these funds for general operating purposes , they are classified as restricted cash and marketable securities in our consolidated balance sheets . in the normal course of business , we may be required to provide financial assurance to governmental agencies and a variety of other entities in connection with municipal residential collection contracts , closure or post- closure of landfills , environmental remediation , environmental permits , and business licenses and permits as a financial guarantee of our performance . at several of our landfills , we satisfy financial assurance requirements by depositing cash into restricted trust funds or escrow accounts . property and equipment we record property and equipment at cost . expenditures for major additions and improvements to facilities are capitalized , while maintenance and repairs are charged to expense as incurred . when property is retired or otherwise disposed , the related cost and accumulated depreciation are removed from the accounts and any resulting gain or loss is reflected in the consolidated statements of income. .

Questions:
what was the beginning balance for the allowance for doubtful accounts in 2014?
and in 2013?
so what was the change between these two balances?
and the percentage change?

Answers:
38.3
45.3
-7
15.5%