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Solution for 83 is what percent of 21:

83:21*100 =

(83*100):21 =

8300:21 = 395.24

Now we have: 83 is what percent of 21 = 395.24

Question: 83 is what percent of 21?

Percentage solution with steps:

Step 1: We make the assumption that 21 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\%}={21}.

Step 4: In the same vein, {x\%}={83}.

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

{100\%}={21}(1).

{x\%}={83}(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{21}{83}

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

\frac{x\%}{100\%}=\frac{83}{21}

\Rightarrow{x} = {395.24\%}

Therefore, {83} is {395.24\%} of {21}.

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Solution for 21 is what percent of 83:

21:83*100 =

(21*100):83 =

2100:83 = 25.3

Now we have: 21 is what percent of 83 = 25.3

Question: 21 is what percent of 83?

Percentage solution with steps:

Step 1: We make the assumption that 83 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\%}={83}.

Step 4: In the same vein, {x\%}={21}.

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

{100\%}={83}(1).

{x\%}={21}(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{83}{21}

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

\frac{x\%}{100\%}=\frac{21}{83}

\Rightarrow{x} = {25.3\%}

Therefore, {21} is {25.3\%} of {83}.