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Solution for 138 is what percent of 166:

138:166*100 =

(138*100):166 =

13800:166 = 83.13

Now we have: 138 is what percent of 166 = 83.13

Question: 138 is what percent of 166?

Percentage solution with steps:

Step 1: We make the assumption that 166 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\%}={166}.

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

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

{100\%}={166}(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{166}{138}

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

\frac{x\%}{100\%}=\frac{138}{166}

\Rightarrow{x} = {83.13\%}

Therefore, {138} is {83.13\%} of {166}.

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Solution for 166 is what percent of 138:

166:138*100 =

(166*100):138 =

16600:138 = 120.29

Now we have: 166 is what percent of 138 = 120.29

Question: 166 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\%}={166}.

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

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

{x\%}={166}(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}{166}

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

\frac{x\%}{100\%}=\frac{166}{138}

\Rightarrow{x} = {120.29\%}

Therefore, {166} is {120.29\%} of {138}.