Jill has written a program that computes the sales tax on the purchase of an item, given the price of the item $($a floating$-$point number$)$ and the percent tax rate $($an integer$).$ The output of the program is the purchase price, the tax, and the total amount to be paid. Here is her code:

purchasePrice $=$ float$($input$("$Enter the purchase price as $: $"))$

taxRate $=$ int$($input$("$Enter the tax rate as $\%$: $"))$

tax $=$ purchasePrice $*$ taxRate

totalOwed $=$ purchasePrice $+$ tax

print$("$Purchase price: $",$ purchasePrice$)$

print$("$Tax: $",$ tax$)$

print$("$Total owed: $",$ totalOwed$)$

When she tested his program with a purchase price of $$5\mathrm{.}50$ and a sales tax of $5\%,$ Jill observed the following unexpected output:

Enter the purchase price as $: $5\mathrm{.}50$

Enter the tax rate as $\%$: $5$

Purchase price: $5\mathrm{.}5$

Tax: $27\mathrm{.}5$

Total owed: $33\mathrm{.}0$

Determine what causes this error and fix it$.$