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Solution for 48 is what percent of 161:

48:161*100 =

(48*100):161 =

4800:161 = 29.81

Now we have: 48 is what percent of 161 = 29.81

Question: 48 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\%}={48}.

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

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

{x\%}={48}(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}{48}

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

\frac{x\%}{100\%}=\frac{48}{161}

\Rightarrow{x} = {29.81\%}

Therefore, {48} is {29.81\%} of {161}.

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• 48 is what percent of 30 = 160
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Solution for 161 is what percent of 48:

161:48*100 =

(161*100):48 =

16100:48 = 335.42

Now we have: 161 is what percent of 48 = 335.42

Question: 161 is what percent of 48?

Percentage solution with steps:

Step 1: We make the assumption that 48 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\%}={48}.

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

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

{100\%}={48}(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{48}{161}

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

\frac{x\%}{100\%}=\frac{161}{48}

\Rightarrow{x} = {335.42\%}

Therefore, {161} is {335.42\%} of {48}.