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Solution for 13.0 is what percent of 49:

13.0:49*100 =

(13.0*100):49 =

1300:49 = 26.530612244898

Now we have: 13.0 is what percent of 49 = 26.530612244898

Question: 13.0 is what percent of 49?

Percentage solution with steps:

Step 1: We make the assumption that 49 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\%}={49}.

Step 4: In the same vein, {x\%}={13.0}.

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

{100\%}={49}(1).

{x\%}={13.0}(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{49}{13.0}

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

\frac{x\%}{100\%}=\frac{13.0}{49}

\Rightarrow{x} = {26.530612244898\%}

Therefore, {13.0} is {26.530612244898\%} of {49}.

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Solution for 49 is what percent of 13.0:

49:13.0*100 =

(49*100):13.0 =

4900:13.0 = 376.92307692308

Now we have: 49 is what percent of 13.0 = 376.92307692308

Question: 49 is what percent of 13.0?

Percentage solution with steps:

Step 1: We make the assumption that 13.0 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\%}={13.0}.

Step 4: In the same vein, {x\%}={49}.

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

{100\%}={13.0}(1).

{x\%}={49}(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{13.0}{49}

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

\frac{x\%}{100\%}=\frac{49}{13.0}

\Rightarrow{x} = {376.92307692308\%}

Therefore, {49} is {376.92307692308\%} of {13.0}.