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Solution for 138 is what percent of 315:

138:315*100 =

(138*100):315 =

13800:315 = 43.81

Now we have: 138 is what percent of 315 = 43.81

Question: 138 is what percent of 315?

Percentage solution with steps:

Step 1: We make the assumption that 315 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\%}={315}.

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

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

{100\%}={315}(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{315}{138}

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

\frac{x\%}{100\%}=\frac{138}{315}

\Rightarrow{x} = {43.81\%}

Therefore, {138} is {43.81\%} of {315}.

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Solution for 315 is what percent of 138:

315:138*100 =

(315*100):138 =

31500:138 = 228.26

Now we have: 315 is what percent of 138 = 228.26

Question: 315 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\%}={315}.

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

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

{x\%}={315}(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}{315}

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

\frac{x\%}{100\%}=\frac{315}{138}

\Rightarrow{x} = {228.26\%}

Therefore, {315} is {228.26\%} of {138}.