#### Solution for 1300 is what percent of 12790:

1300:12790*100 =

(1300*100):12790 =

130000:12790 = 10.16

Now we have: 1300 is what percent of 12790 = 10.16

Question: 1300 is what percent of 12790?

Percentage solution with steps:

Step 1: We make the assumption that 12790 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\%}={12790}.

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

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

{100\%}={12790}(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{12790}{1300}

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

\frac{x\%}{100\%}=\frac{1300}{12790}

\Rightarrow{x} = {10.16\%}

Therefore, {1300} is {10.16\%} of {12790}.

#### Solution for 12790 is what percent of 1300:

12790:1300*100 =

(12790*100):1300 =

1279000:1300 = 983.85

Now we have: 12790 is what percent of 1300 = 983.85

Question: 12790 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\%}={12790}.

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

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

{x\%}={12790}(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}{12790}

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

\frac{x\%}{100\%}=\frac{12790}{1300}

\Rightarrow{x} = {983.85\%}

Therefore, {12790} is {983.85\%} of {1300}.

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