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Solution for 105.5 is what percent of 92:

105.5:92*100 =

(105.5*100):92 =

10550:92 = 114.67391304348

Now we have: 105.5 is what percent of 92 = 114.67391304348

Question: 105.5 is what percent of 92?

Percentage solution with steps:

Step 1: We make the assumption that 92 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\%}={92}.

Step 4: In the same vein, {x\%}={105.5}.

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

{100\%}={92}(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{92}{105.5}

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

\frac{x\%}{100\%}=\frac{105.5}{92}

\Rightarrow{x} = {114.67391304348\%}

Therefore, {105.5} is {114.67391304348\%} of {92}.

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• 105.5 is what percent of 100 = 105.5

Solution for 92 is what percent of 105.5:

92:105.5*100 =

(92*100):105.5 =

9200:105.5 = 87.203791469194

Now we have: 92 is what percent of 105.5 = 87.203791469194

Question: 92 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\%}={92}.

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

{100\%}={105.5}(1).

{x\%}={92}(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}{92}

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

\frac{x\%}{100\%}=\frac{92}{105.5}

\Rightarrow{x} = {87.203791469194\%}

Therefore, {92} is {87.203791469194\%} of {105.5}.