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Solution for 13 is what percent of 76:

13:76*100 =

(13*100):76 =

1300:76 = 17.11

Now we have: 13 is what percent of 76 = 17.11

Question: 13 is what percent of 76?

Percentage solution with steps:

Step 1: We make the assumption that 76 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\%}={76}.

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

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

{100\%}={76}(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{76}{13}

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

\frac{x\%}{100\%}=\frac{13}{76}

\Rightarrow{x} = {17.11\%}

Therefore, {13} is {17.11\%} of {76}.

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Solution for 76 is what percent of 13:

76:13*100 =

(76*100):13 =

7600:13 = 584.62

Now we have: 76 is what percent of 13 = 584.62

Question: 76 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\%}={76}.

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

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

{x\%}={76}(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}{76}

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

\frac{x\%}{100\%}=\frac{76}{13}

\Rightarrow{x} = {584.62\%}

Therefore, {76} is {584.62\%} of {13}.