Within Fibonacci Numbers
Jelly, 10 bytes

0ÆḞ©w¥1#;®


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How it works

0ÆḞ©w¥1#;®  Main link. Argument: n

0           Set the return value to 0.
       #    Call the second link to the left with arguments k = 0, 1, 2, ... until
      1     one match has been found.
     ¥        Combine the two links to the left into a dyadich chain.
 ÆḞ             Compute the k-th Fibonacci number...
   ©              and copy it to the register.
    w           Yield 1 if n occurs inside the Fibonacci number, 0 otherwise.
         ®  Yield the value stored in the register.
        ;   Concatenate the index and the Fibonacci number.