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Solution for 105 is what percent of 92:

105:92*100 =

(105*100):92 =

10500:92 = 114.13

Now we have: 105 is what percent of 92 = 114.13

Question: 105 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}.

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

{100\%}={92}(1).

{x\%}={105}(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}

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

\frac{x\%}{100\%}=\frac{105}{92}

\Rightarrow{x} = {114.13\%}

Therefore, {105} is {114.13\%} of {92}.

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Solution for 92 is what percent of 105:

92:105*100 =

(92*100):105 =

9200:105 = 87.62

Now we have: 92 is what percent of 105 = 87.62

Question: 92 is what percent of 105?

Percentage solution with steps:

Step 1: We make the assumption that 105 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}.

Step 4: In the same vein, {x\%}={92}.

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

{100\%}={105}(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}{92}

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

\frac{x\%}{100\%}=\frac{92}{105}

\Rightarrow{x} = {87.62\%}

Therefore, {92} is {87.62\%} of {105}.