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Solution for 159 is what percent of 71:

159:71*100 =

(159*100):71 =

15900:71 = 223.94

Now we have: 159 is what percent of 71 = 223.94

Question: 159 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\%}={159}.

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

{100\%}={71}(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{71}{159}

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

\frac{x\%}{100\%}=\frac{159}{71}

\Rightarrow{x} = {223.94\%}

Therefore, {159} is {223.94\%} of {71}.

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Solution for 71 is what percent of 159:

71:159*100 =

(71*100):159 =

7100:159 = 44.65

Now we have: 71 is what percent of 159 = 44.65

Question: 71 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\%}={71}.

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

{100\%}={159}(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{159}{71}

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

\frac{x\%}{100\%}=\frac{71}{159}

\Rightarrow{x} = {44.65\%}

Therefore, {71} is {44.65\%} of {159}.