#### Solution for 9.21 is what percent of 20:

9.21:20*100 =

(9.21*100):20 =

921:20 = 46.05

Now we have: 9.21 is what percent of 20 = 46.05

Question: 9.21 is what percent of 20?

Percentage solution with steps:

Step 1: We make the assumption that 20 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\%}={20}.

Step 4: In the same vein, {x\%}={9.21}.

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

{100\%}={20}(1).

{x\%}={9.21}(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{20}{9.21}

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

\frac{x\%}{100\%}=\frac{9.21}{20}

\Rightarrow{x} = {46.05\%}

Therefore, {9.21} is {46.05\%} of {20}.

#### Solution for 20 is what percent of 9.21:

20:9.21*100 =

(20*100):9.21 =

2000:9.21 = 217.1552660152

Now we have: 20 is what percent of 9.21 = 217.1552660152

Question: 20 is what percent of 9.21?

Percentage solution with steps:

Step 1: We make the assumption that 9.21 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\%}={9.21}.

Step 4: In the same vein, {x\%}={20}.

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

{100\%}={9.21}(1).

{x\%}={20}(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{9.21}{20}

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

\frac{x\%}{100\%}=\frac{20}{9.21}

\Rightarrow{x} = {217.1552660152\%}

Therefore, {20} is {217.1552660152\%} of {9.21}.

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