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Solution for 159 is what percent of 48:

159:48*100 =

(159*100):48 =

15900:48 = 331.25

Now we have: 159 is what percent of 48 = 331.25

Question: 159 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\%}={159}.

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

{100\%}={48}(1).

{x\%}={159}(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}{159}

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

\frac{x\%}{100\%}=\frac{159}{48}

\Rightarrow{x} = {331.25\%}

Therefore, {159} is {331.25\%} of {48}.

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Solution for 48 is what percent of 159:

48:159*100 =

(48*100):159 =

4800:159 = 30.19

Now we have: 48 is what percent of 159 = 30.19

Question: 48 is what percent of 159?

Percentage solution with steps:

Step 1: We make the assumption that 159 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\%}={159}.

Step 4: In the same vein, {x\%}={48}.

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

{100\%}={159}(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{159}{48}

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

\frac{x\%}{100\%}=\frac{48}{159}

\Rightarrow{x} = {30.19\%}

Therefore, {48} is {30.19\%} of {159}.