#### Solution for 560 is what percent of 13:

560:13*100 =

(560*100):13 =

56000:13 = 4307.69

Now we have: 560 is what percent of 13 = 4307.69

Question: 560 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\%}={560}.

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

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

{x\%}={560}(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}{560}

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

\frac{x\%}{100\%}=\frac{560}{13}

\Rightarrow{x} = {4307.69\%}

Therefore, {560} is {4307.69\%} of {13}.

#### Solution for 13 is what percent of 560:

13:560*100 =

(13*100):560 =

1300:560 = 2.32

Now we have: 13 is what percent of 560 = 2.32

Question: 13 is what percent of 560?

Percentage solution with steps:

Step 1: We make the assumption that 560 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\%}={560}.

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

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

{100\%}={560}(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{560}{13}

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

\frac{x\%}{100\%}=\frac{13}{560}

\Rightarrow{x} = {2.32\%}

Therefore, {13} is {2.32\%} of {560}.

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