#### Solution for 55 is what percent of 464:

55:464*100 =

(55*100):464 =

5500:464 = 11.85

Now we have: 55 is what percent of 464 = 11.85

Question: 55 is what percent of 464?

Percentage solution with steps:

Step 1: We make the assumption that 464 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={464}.

Step 4: In the same vein, {x\%}={55}.

Step 5: This gives us a pair of simple equations:

{100\%}={464}(1).

{x\%}={55}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{464}{55}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{55}{464}

\Rightarrow{x} = {11.85\%}

Therefore, {55} is {11.85\%} of {464}.

#### Solution for 464 is what percent of 55:

464:55*100 =

(464*100):55 =

46400:55 = 843.64

Now we have: 464 is what percent of 55 = 843.64

Question: 464 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={55}.

Step 4: In the same vein, {x\%}={464}.

Step 5: This gives us a pair of simple equations:

{100\%}={55}(1).

{x\%}={464}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{55}{464}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{464}{55}

\Rightarrow{x} = {843.64\%}

Therefore, {464} is {843.64\%} of {55}.

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