#### Solution for 138 is what percent of 865:

138:865*100 =

(138*100):865 =

13800:865 = 15.95

Now we have: 138 is what percent of 865 = 15.95

Question: 138 is what percent of 865?

Percentage solution with steps:

Step 1: We make the assumption that 865 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\%}={865}.

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

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

{100\%}={865}(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{865}{138}

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

\frac{x\%}{100\%}=\frac{138}{865}

\Rightarrow{x} = {15.95\%}

Therefore, {138} is {15.95\%} of {865}.

#### Solution for 865 is what percent of 138:

865:138*100 =

(865*100):138 =

86500:138 = 626.81

Now we have: 865 is what percent of 138 = 626.81

Question: 865 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\%}={865}.

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

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

{x\%}={865}(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}{865}

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

\frac{x\%}{100\%}=\frac{865}{138}

\Rightarrow{x} = {626.81\%}

Therefore, {865} is {626.81\%} of {138}.

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