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Solution for 10.0 is what percent of 21:

10.0:21*100 =

(10.0*100):21 =

1000:21 = 47.619047619048

Now we have: 10.0 is what percent of 21 = 47.619047619048

Question: 10.0 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\%}={10.0}.

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

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

{x\%}={10.0}(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}{10.0}

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

\frac{x\%}{100\%}=\frac{10.0}{21}

\Rightarrow{x} = {47.619047619048\%}

Therefore, {10.0} is {47.619047619048\%} of {21}.

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Solution for 21 is what percent of 10.0:

21:10.0*100 =

(21*100):10.0 =

2100:10.0 = 210

Now we have: 21 is what percent of 10.0 = 210

Question: 21 is what percent of 10.0?

Percentage solution with steps:

Step 1: We make the assumption that 10.0 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\%}={10.0}.

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

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

{100\%}={10.0}(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{10.0}{21}

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

\frac{x\%}{100\%}=\frac{21}{10.0}

\Rightarrow{x} = {210\%}

Therefore, {21} is {210\%} of {10.0}.