#### Solution for 13 is what percent of 1457:

13:1457*100 =

(13*100):1457 =

1300:1457 = 0.89

Now we have: 13 is what percent of 1457 = 0.89

Question: 13 is what percent of 1457?

Percentage solution with steps:

Step 1: We make the assumption that 1457 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\%}={1457}.

Step 4: In the same vein, {x\%}={13}.

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

{100\%}={1457}(1).

{x\%}={13}(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{1457}{13}

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

\frac{x\%}{100\%}=\frac{13}{1457}

\Rightarrow{x} = {0.89\%}

Therefore, {13} is {0.89\%} of {1457}.

#### Solution for 1457 is what percent of 13:

1457:13*100 =

(1457*100):13 =

145700:13 = 11207.69

Now we have: 1457 is what percent of 13 = 11207.69

Question: 1457 is what percent of 13?

Percentage solution with steps:

Step 1: We make the assumption that 13 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\%}={13}.

Step 4: In the same vein, {x\%}={1457}.

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

{100\%}={13}(1).

{x\%}={1457}(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{13}{1457}

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

\frac{x\%}{100\%}=\frac{1457}{13}

\Rightarrow{x} = {11207.69\%}

Therefore, {1457} is {11207.69\%} of {13}.

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