#### Solution for 10.5 is what percent of 21.2:

10.5:21.2*100 =

(10.5*100):21.2 =

1050:21.2 = 49.528301886792

Now we have: 10.5 is what percent of 21.2 = 49.528301886792

Question: 10.5 is what percent of 21.2?

Percentage solution with steps:

Step 1: We make the assumption that 21.2 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\%}={21.2}.

Step 4: In the same vein, {x\%}={10.5}.

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

{100\%}={21.2}(1).

{x\%}={10.5}(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{21.2}{10.5}

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

\frac{x\%}{100\%}=\frac{10.5}{21.2}

\Rightarrow{x} = {49.528301886792\%}

Therefore, {10.5} is {49.528301886792\%} of {21.2}.

#### Solution for 21.2 is what percent of 10.5:

21.2:10.5*100 =

(21.2*100):10.5 =

2120:10.5 = 201.90476190476

Now we have: 21.2 is what percent of 10.5 = 201.90476190476

Question: 21.2 is what percent of 10.5?

Percentage solution with steps:

Step 1: We make the assumption that 10.5 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\%}={10.5}.

Step 4: In the same vein, {x\%}={21.2}.

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

{100\%}={10.5}(1).

{x\%}={21.2}(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{10.5}{21.2}

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

\frac{x\%}{100\%}=\frac{21.2}{10.5}

\Rightarrow{x} = {201.90476190476\%}

Therefore, {21.2} is {201.90476190476\%} of {10.5}.

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