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Solution for 71 is what percent of 33:

71:33*100 =

(71*100):33 =

7100:33 = 215.15

Now we have: 71 is what percent of 33 = 215.15

Question: 71 is what percent of 33?

Percentage solution with steps:

Step 1: We make the assumption that 33 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\%}={33}.

Step 4: In the same vein, {x\%}={71}.

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

{100\%}={33}(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{33}{71}

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

\frac{x\%}{100\%}=\frac{71}{33}

\Rightarrow{x} = {215.15\%}

Therefore, {71} is {215.15\%} of {33}.

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Solution for 33 is what percent of 71:

33:71*100 =

(33*100):71 =

3300:71 = 46.48

Now we have: 33 is what percent of 71 = 46.48

Question: 33 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\%}={33}.

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

{100\%}={71}(1).

{x\%}={33}(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}{33}

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

\frac{x\%}{100\%}=\frac{33}{71}

\Rightarrow{x} = {46.48\%}

Therefore, {33} is {46.48\%} of {71}.