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Solution for 138 is what percent of 34:

138:34*100 =

(138*100):34 =

13800:34 = 405.88

Now we have: 138 is what percent of 34 = 405.88

Question: 138 is what percent of 34?

Percentage solution with steps:

Step 1: We make the assumption that 34 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\%}={34}.

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

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

{100\%}={34}(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{34}{138}

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

\frac{x\%}{100\%}=\frac{138}{34}

\Rightarrow{x} = {405.88\%}

Therefore, {138} is {405.88\%} of {34}.

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Solution for 34 is what percent of 138:

34:138*100 =

(34*100):138 =

3400:138 = 24.64

Now we have: 34 is what percent of 138 = 24.64

Question: 34 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\%}={34}.

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

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

{x\%}={34}(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}{34}

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

\frac{x\%}{100\%}=\frac{34}{138}

\Rightarrow{x} = {24.64\%}

Therefore, {34} is {24.64\%} of {138}.