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Solution for 138 is what percent of 550:

138:550*100 =

(138*100):550 =

13800:550 = 25.09

Now we have: 138 is what percent of 550 = 25.09

Question: 138 is what percent of 550?

Percentage solution with steps:

Step 1: We make the assumption that 550 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\%}={550}.

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

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

{100\%}={550}(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{550}{138}

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

\frac{x\%}{100\%}=\frac{138}{550}

\Rightarrow{x} = {25.09\%}

Therefore, {138} is {25.09\%} of {550}.

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Solution for 550 is what percent of 138:

550:138*100 =

(550*100):138 =

55000:138 = 398.55

Now we have: 550 is what percent of 138 = 398.55

Question: 550 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\%}={550}.

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

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

{x\%}={550}(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}{550}

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

\frac{x\%}{100\%}=\frac{550}{138}

\Rightarrow{x} = {398.55\%}

Therefore, {550} is {398.55\%} of {138}.