#### Solution for 21 is what percent of 505:

21:505*100 =

(21*100):505 =

2100:505 = 4.16

Now we have: 21 is what percent of 505 = 4.16

Question: 21 is what percent of 505?

Percentage solution with steps:

Step 1: We make the assumption that 505 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\%}={505}.

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

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

{100\%}={505}(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{505}{21}

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

\frac{x\%}{100\%}=\frac{21}{505}

\Rightarrow{x} = {4.16\%}

Therefore, {21} is {4.16\%} of {505}.

#### Solution for 505 is what percent of 21:

505:21*100 =

(505*100):21 =

50500:21 = 2404.76

Now we have: 505 is what percent of 21 = 2404.76

Question: 505 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\%}={505}.

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

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

{x\%}={505}(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}{505}

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

\frac{x\%}{100\%}=\frac{505}{21}

\Rightarrow{x} = {2404.76\%}

Therefore, {505} is {2404.76\%} of {21}.

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