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Solution for 100 is what percent of 13:

100:13*100 =

(100*100):13 =

10000:13 = 769.23

Now we have: 100 is what percent of 13 = 769.23

Question: 100 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\%}={100}.

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

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

{x\%}={100}(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}{100}

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

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

\Rightarrow{x} = {769.23\%}

Therefore, {100} is {769.23\%} of {13}.

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Solution for 13 is what percent of 100:

13:100*100 =

(13*100):100 =

1300:100 = 13

Now we have: 13 is what percent of 100 = 13

Question: 13 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

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

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

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

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

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

\Rightarrow{x} = {13\%}

Therefore, {13} is {13\%} of {100}.