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Solution for 21 is what percent of 99.9:

21:99.9*100 =

(21*100):99.9 =

2100:99.9 = 21.021021021021

Now we have: 21 is what percent of 99.9 = 21.021021021021

Question: 21 is what percent of 99.9?

Percentage solution with steps:

Step 1: We make the assumption that 99.9 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\%}={99.9}.

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

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

{100\%}={99.9}(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{99.9}{21}

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

\frac{x\%}{100\%}=\frac{21}{99.9}

\Rightarrow{x} = {21.021021021021\%}

Therefore, {21} is {21.021021021021\%} of {99.9}.

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Solution for 99.9 is what percent of 21:

99.9:21*100 =

(99.9*100):21 =

9990:21 = 475.71428571429

Now we have: 99.9 is what percent of 21 = 475.71428571429

Question: 99.9 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\%}={99.9}.

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

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

{x\%}={99.9}(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}{99.9}

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

\frac{x\%}{100\%}=\frac{99.9}{21}

\Rightarrow{x} = {475.71428571429\%}

Therefore, {99.9} is {475.71428571429\%} of {21}.