#### Solution for 138 is what percent of 337:

138:337*100 =

(138*100):337 =

13800:337 = 40.95

Now we have: 138 is what percent of 337 = 40.95

Question: 138 is what percent of 337?

Percentage solution with steps:

Step 1: We make the assumption that 337 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\%}={337}.

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

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

{100\%}={337}(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{337}{138}

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

\frac{x\%}{100\%}=\frac{138}{337}

\Rightarrow{x} = {40.95\%}

Therefore, {138} is {40.95\%} of {337}.

#### Solution for 337 is what percent of 138:

337:138*100 =

(337*100):138 =

33700:138 = 244.2

Now we have: 337 is what percent of 138 = 244.2

Question: 337 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\%}={337}.

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

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

{x\%}={337}(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}{337}

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

\frac{x\%}{100\%}=\frac{337}{138}

\Rightarrow{x} = {244.2\%}

Therefore, {337} is {244.2\%} of {138}.

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