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Solution for 105.5 is what percent of 55:

105.5:55*100 =

(105.5*100):55 =

10550:55 = 191.81818181818

Now we have: 105.5 is what percent of 55 = 191.81818181818

Question: 105.5 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\%}={105.5}.

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

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

{x\%}={105.5}(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}{105.5}

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

\frac{x\%}{100\%}=\frac{105.5}{55}

\Rightarrow{x} = {191.81818181818\%}

Therefore, {105.5} is {191.81818181818\%} of {55}.

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• 105.5 is what percent of 100 = 105.5

Solution for 55 is what percent of 105.5:

55:105.5*100 =

(55*100):105.5 =

5500:105.5 = 52.132701421801

Now we have: 55 is what percent of 105.5 = 52.132701421801

Question: 55 is what percent of 105.5?

Percentage solution with steps:

Step 1: We make the assumption that 105.5 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\%}={105.5}.

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

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

{100\%}={105.5}(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{105.5}{55}

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

\frac{x\%}{100\%}=\frac{55}{105.5}

\Rightarrow{x} = {52.132701421801\%}

Therefore, {55} is {52.132701421801\%} of {105.5}.