#### Solution for 634 is what percent of 1021:

634:1021*100 =

(634*100):1021 =

63400:1021 = 62.1

Now we have: 634 is what percent of 1021 = 62.1

Question: 634 is what percent of 1021?

Percentage solution with steps:

Step 1: We make the assumption that 1021 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\%}={1021}.

Step 4: In the same vein, {x\%}={634}.

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

{100\%}={1021}(1).

{x\%}={634}(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{1021}{634}

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

\frac{x\%}{100\%}=\frac{634}{1021}

\Rightarrow{x} = {62.1\%}

Therefore, {634} is {62.1\%} of {1021}.

#### Solution for 1021 is what percent of 634:

1021:634*100 =

(1021*100):634 =

102100:634 = 161.04

Now we have: 1021 is what percent of 634 = 161.04

Question: 1021 is what percent of 634?

Percentage solution with steps:

Step 1: We make the assumption that 634 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\%}={634}.

Step 4: In the same vein, {x\%}={1021}.

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

{100\%}={634}(1).

{x\%}={1021}(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{634}{1021}

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

\frac{x\%}{100\%}=\frac{1021}{634}

\Rightarrow{x} = {161.04\%}

Therefore, {1021} is {161.04\%} of {634}.

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