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Solution for 55 is what percent of 92:

55:92*100 =

(55*100):92 =

5500:92 = 59.78

Now we have: 55 is what percent of 92 = 59.78

Question: 55 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\%}={55}.

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

{100\%}={92}(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{92}{55}

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

\frac{x\%}{100\%}=\frac{55}{92}

\Rightarrow{x} = {59.78\%}

Therefore, {55} is {59.78\%} of {92}.

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Solution for 92 is what percent of 55:

92:55*100 =

(92*100):55 =

9200:55 = 167.27

Now we have: 92 is what percent of 55 = 167.27

Question: 92 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\%}={92}.

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

{100\%}={55}(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{55}{92}

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

\frac{x\%}{100\%}=\frac{92}{55}

\Rightarrow{x} = {167.27\%}

Therefore, {92} is {167.27\%} of {55}.