#### Solution for 86 is what percent of 138:

86:138*100 =

(86*100):138 =

8600:138 = 62.32

Now we have: 86 is what percent of 138 = 62.32

Question: 86 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\%}={86}.

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

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

{x\%}={86}(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}{86}

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

\frac{x\%}{100\%}=\frac{86}{138}

\Rightarrow{x} = {62.32\%}

Therefore, {86} is {62.32\%} of {138}.

#### Solution for 138 is what percent of 86:

138:86*100 =

(138*100):86 =

13800:86 = 160.47

Now we have: 138 is what percent of 86 = 160.47

Question: 138 is what percent of 86?

Percentage solution with steps:

Step 1: We make the assumption that 86 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\%}={86}.

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

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

{100\%}={86}(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{86}{138}

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

\frac{x\%}{100\%}=\frac{138}{86}

\Rightarrow{x} = {160.47\%}

Therefore, {138} is {160.47\%} of {86}.

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