#### Solution for 55 is what percent of 993:

55:993*100 =

(55*100):993 =

5500:993 = 5.54

Now we have: 55 is what percent of 993 = 5.54

Question: 55 is what percent of 993?

Percentage solution with steps:

Step 1: We make the assumption that 993 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\%}={993}.

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

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

{100\%}={993}(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{993}{55}

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

\frac{x\%}{100\%}=\frac{55}{993}

\Rightarrow{x} = {5.54\%}

Therefore, {55} is {5.54\%} of {993}.

#### Solution for 993 is what percent of 55:

993:55*100 =

(993*100):55 =

99300:55 = 1805.45

Now we have: 993 is what percent of 55 = 1805.45

Question: 993 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\%}={993}.

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

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

{x\%}={993}(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}{993}

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

\frac{x\%}{100\%}=\frac{993}{55}

\Rightarrow{x} = {1805.45\%}

Therefore, {993} is {1805.45\%} of {55}.

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