#### Solution for 663 is what percent of 1300:

663:1300*100 =

(663*100):1300 =

66300:1300 = 51

Now we have: 663 is what percent of 1300 = 51

Question: 663 is what percent of 1300?

Percentage solution with steps:

Step 1: We make the assumption that 1300 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\%}={1300}.

Step 4: In the same vein, {x\%}={663}.

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

{100\%}={1300}(1).

{x\%}={663}(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{1300}{663}

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

\frac{x\%}{100\%}=\frac{663}{1300}

\Rightarrow{x} = {51\%}

Therefore, {663} is {51\%} of {1300}.

#### Solution for 1300 is what percent of 663:

1300:663*100 =

(1300*100):663 =

130000:663 = 196.08

Now we have: 1300 is what percent of 663 = 196.08

Question: 1300 is what percent of 663?

Percentage solution with steps:

Step 1: We make the assumption that 663 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\%}={663}.

Step 4: In the same vein, {x\%}={1300}.

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

{100\%}={663}(1).

{x\%}={1300}(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{663}{1300}

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

\frac{x\%}{100\%}=\frac{1300}{663}

\Rightarrow{x} = {196.08\%}

Therefore, {1300} is {196.08\%} of {663}.

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