#### Solution for 161 is what percent of 230:

161:230*100 =

(161*100):230 =

16100:230 = 70

Now we have: 161 is what percent of 230 = 70

Question: 161 is what percent of 230?

Percentage solution with steps:

Step 1: We make the assumption that 230 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\%}={230}.

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

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

{100\%}={230}(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{230}{161}

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

\frac{x\%}{100\%}=\frac{161}{230}

\Rightarrow{x} = {70\%}

Therefore, {161} is {70\%} of {230}.

#### Solution for 230 is what percent of 161:

230:161*100 =

(230*100):161 =

23000:161 = 142.86

Now we have: 230 is what percent of 161 = 142.86

Question: 230 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\%}={230}.

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

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

{x\%}={230}(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}{230}

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

\frac{x\%}{100\%}=\frac{230}{161}

\Rightarrow{x} = {142.86\%}

Therefore, {230} is {142.86\%} of {161}.

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