#### Solution for 67 is what percent of 161:

67:161*100 =

(67*100):161 =

6700:161 = 41.61

Now we have: 67 is what percent of 161 = 41.61

Question: 67 is what percent of 161?

Percentage solution with steps:

Step 1: We make the assumption that 161 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\%}={161}.

Step 4: In the same vein, {x\%}={67}.

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

{100\%}={161}(1).

{x\%}={67}(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{161}{67}

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

\frac{x\%}{100\%}=\frac{67}{161}

\Rightarrow{x} = {41.61\%}

Therefore, {67} is {41.61\%} of {161}.

#### Solution for 161 is what percent of 67:

161:67*100 =

(161*100):67 =

16100:67 = 240.3

Now we have: 161 is what percent of 67 = 240.3

Question: 161 is what percent of 67?

Percentage solution with steps:

Step 1: We make the assumption that 67 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\%}={67}.

Step 4: In the same vein, {x\%}={161}.

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

{100\%}={67}(1).

{x\%}={161}(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{67}{161}

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

\frac{x\%}{100\%}=\frac{161}{67}

\Rightarrow{x} = {240.3\%}

Therefore, {161} is {240.3\%} of {67}.

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