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Solution for 138 is what percent of 398:

138:398*100 =

(138*100):398 =

13800:398 = 34.67

Now we have: 138 is what percent of 398 = 34.67

Question: 138 is what percent of 398?

Percentage solution with steps:

Step 1: We make the assumption that 398 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\%}={398}.

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

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

{100\%}={398}(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{398}{138}

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

\frac{x\%}{100\%}=\frac{138}{398}

\Rightarrow{x} = {34.67\%}

Therefore, {138} is {34.67\%} of {398}.

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Solution for 398 is what percent of 138:

398:138*100 =

(398*100):138 =

39800:138 = 288.41

Now we have: 398 is what percent of 138 = 288.41

Question: 398 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\%}={398}.

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

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

{x\%}={398}(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}{398}

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

\frac{x\%}{100\%}=\frac{398}{138}

\Rightarrow{x} = {288.41\%}

Therefore, {398} is {288.41\%} of {138}.