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Solution for 13 is what percent of 153:

13:153*100 =

(13*100):153 =

1300:153 = 8.5

Now we have: 13 is what percent of 153 = 8.5

Question: 13 is what percent of 153?

Percentage solution with steps:

Step 1: We make the assumption that 153 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\%}={153}.

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

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

{100\%}={153}(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{153}{13}

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

\frac{x\%}{100\%}=\frac{13}{153}

\Rightarrow{x} = {8.5\%}

Therefore, {13} is {8.5\%} of {153}.

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Solution for 153 is what percent of 13:

153:13*100 =

(153*100):13 =

15300:13 = 1176.92

Now we have: 153 is what percent of 13 = 1176.92

Question: 153 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\%}={153}.

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

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

{x\%}={153}(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}{153}

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

\frac{x\%}{100\%}=\frac{153}{13}

\Rightarrow{x} = {1176.92\%}

Therefore, {153} is {1176.92\%} of {13}.