#### Solution for 71 is what percent of 252:

71:252*100 =

(71*100):252 =

7100:252 = 28.17

Now we have: 71 is what percent of 252 = 28.17

Question: 71 is what percent of 252?

Percentage solution with steps:

Step 1: We make the assumption that 252 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\%}={252}.

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

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

{100\%}={252}(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{252}{71}

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

\frac{x\%}{100\%}=\frac{71}{252}

\Rightarrow{x} = {28.17\%}

Therefore, {71} is {28.17\%} of {252}.

#### Solution for 252 is what percent of 71:

252:71*100 =

(252*100):71 =

25200:71 = 354.93

Now we have: 252 is what percent of 71 = 354.93

Question: 252 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\%}={252}.

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

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

{x\%}={252}(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}{252}

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

\frac{x\%}{100\%}=\frac{252}{71}

\Rightarrow{x} = {354.93\%}

Therefore, {252} is {354.93\%} of {71}.

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