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Solution for 159 is what percent of 46:

159:46*100 =

(159*100):46 =

15900:46 = 345.65

Now we have: 159 is what percent of 46 = 345.65

Question: 159 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={46}.

Step 4: In the same vein, {x\%}={159}.

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

{100\%}={46}(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{46}{159}

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

\frac{x\%}{100\%}=\frac{159}{46}

\Rightarrow{x} = {345.65\%}

Therefore, {159} is {345.65\%} of {46}.

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Solution for 46 is what percent of 159:

46:159*100 =

(46*100):159 =

4600:159 = 28.93

Now we have: 46 is what percent of 159 = 28.93

Question: 46 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\%}={46}.

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

{100\%}={159}(1).

{x\%}={46}(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}{46}

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

\frac{x\%}{100\%}=\frac{46}{159}

\Rightarrow{x} = {28.93\%}

Therefore, {46} is {28.93\%} of {159}.