#### Solution for 71 is what percent of 161:

71:161*100 =

(71*100):161 =

7100:161 = 44.1

Now we have: 71 is what percent of 161 = 44.1

Question: 71 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\%}={71}.

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

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

{x\%}={71}(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}{71}

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

\frac{x\%}{100\%}=\frac{71}{161}

\Rightarrow{x} = {44.1\%}

Therefore, {71} is {44.1\%} of {161}.

#### Solution for 161 is what percent of 71:

161:71*100 =

(161*100):71 =

16100:71 = 226.76

Now we have: 161 is what percent of 71 = 226.76

Question: 161 is what percent of 71?

Percentage solution with steps:

Step 1: We make the assumption that 71 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\%}={71}.

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

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

{100\%}={71}(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{71}{161}

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

\frac{x\%}{100\%}=\frac{161}{71}

\Rightarrow{x} = {226.76\%}

Therefore, {161} is {226.76\%} of {71}.

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