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 small-container commercial , large-container 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 , energy services 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: .

2015
2014
2013
balance at beginning of year
$ 38.9
$ 38.3
$ 45.3
additions charged to expense
22.7
22.6
16.1
accounts written-off
-14.9 ( 14.9 )
-22.0 ( 22.0 )
-23.1 ( 23.1 )
balance at end of year
$ 46.7
$ 38.9
$ 38.3

restricted cash and marketable securities as of december 31 , 2015 , we had $ 100.3 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. .

Question: in december 2015 what was the ratio of the restricted cash and marketable securities to the allowance for doubtful accounts
Explanation: the ratio of the restricted cash and marketable securities to the allowance for doubtful accounts was 2.15 to 1 in december 2015
Calculation: divide(100.3, 46.7)