Why am I losing precision while converting float32 to float64?

Question

While converting a float32 number to float64 precision is being lost in Go. For example converting 359.9 to float64 produces 359.8999938964844. If float32 can be stored precisely why is float64 losing precision?

Sample code:

package main

import (
    "fmt"
)

func main() {
    var a float32 = 359.9
    fmt.Println(a)
    fmt.Println(float64(a))
}

Try it on Playground