#### Solution for 114 is what percent of 138:

114:138*100 =

(114*100):138 =

11400:138 = 82.61

Now we have: 114 is what percent of 138 = 82.61

Question: 114 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\%}={114}.

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

{100\%}={138}(1).

{x\%}={114}(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}{114}

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

\frac{x\%}{100\%}=\frac{114}{138}

\Rightarrow{x} = {82.61\%}

Therefore, {114} is {82.61\%} of {138}.

#### Solution for 138 is what percent of 114:

138:114*100 =

(138*100):114 =

13800:114 = 121.05

Now we have: 138 is what percent of 114 = 121.05

Question: 138 is what percent of 114?

Percentage solution with steps:

Step 1: We make the assumption that 114 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\%}={114}.

Step 4: In the same vein, {x\%}={138}.

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

{100\%}={114}(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{114}{138}

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

\frac{x\%}{100\%}=\frac{138}{114}

\Rightarrow{x} = {121.05\%}

Therefore, {138} is {121.05\%} of {114}.

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