#### Solution for 21 is what percent of 820:

21:820*100 =

(21*100):820 =

2100:820 = 2.56

Now we have: 21 is what percent of 820 = 2.56

Question: 21 is what percent of 820?

Percentage solution with steps:

Step 1: We make the assumption that 820 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\%}={820}.

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

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

{100\%}={820}(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{820}{21}

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

\frac{x\%}{100\%}=\frac{21}{820}

\Rightarrow{x} = {2.56\%}

Therefore, {21} is {2.56\%} of {820}.

#### Solution for 820 is what percent of 21:

820:21*100 =

(820*100):21 =

82000:21 = 3904.76

Now we have: 820 is what percent of 21 = 3904.76

Question: 820 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\%}={820}.

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

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

{x\%}={820}(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}{820}

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

\frac{x\%}{100\%}=\frac{820}{21}

\Rightarrow{x} = {3904.76\%}

Therefore, {820} is {3904.76\%} of {21}.

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