#### Solution for 92 is what percent of 138:

92:138*100 =

(92*100):138 =

9200:138 = 66.67

Now we have: 92 is what percent of 138 = 66.67

Question: 92 is what percent of 138?

Percentage solution with steps:

Step 1: We make the assumption that 138 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\%}={138}.

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

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

{100\%}={138}(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{138}{92}

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

\frac{x\%}{100\%}=\frac{92}{138}

\Rightarrow{x} = {66.67\%}

Therefore, {92} is {66.67\%} of {138}.

#### Solution for 138 is what percent of 92:

138:92*100 =

(138*100):92 =

13800:92 = 150

Now we have: 138 is what percent of 92 = 150

Question: 138 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\%}={138}.

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

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

{x\%}={138}(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}{138}

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

\frac{x\%}{100\%}=\frac{138}{92}

\Rightarrow{x} = {150\%}

Therefore, {138} is {150\%} of {92}.

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