#### Solution for 21 is what percent of 1000:

21:1000*100 =

(21*100):1000 =

2100:1000 = 2.1

Now we have: 21 is what percent of 1000 = 2.1

Question: 21 is what percent of 1000?

Percentage solution with steps:

Step 1: We make the assumption that 1000 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\%}={1000}.

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

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

{100\%}={1000}(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{1000}{21}

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

\frac{x\%}{100\%}=\frac{21}{1000}

\Rightarrow{x} = {2.1\%}

Therefore, {21} is {2.1\%} of {1000}.

#### Solution for 1000 is what percent of 21:

1000:21*100 =

(1000*100):21 =

100000:21 = 4761.9

Now we have: 1000 is what percent of 21 = 4761.9

Question: 1000 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\%}={1000}.

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

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

{x\%}={1000}(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}{1000}

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

\frac{x\%}{100\%}=\frac{1000}{21}

\Rightarrow{x} = {4761.9\%}

Therefore, {1000} is {4761.9\%} of {21}.

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