#### Solution for 13 is what percent of 1948:

13:1948*100 =

(13*100):1948 =

1300:1948 = 0.67

Now we have: 13 is what percent of 1948 = 0.67

Question: 13 is what percent of 1948?

Percentage solution with steps:

Step 1: We make the assumption that 1948 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\%}={1948}.

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

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

{100\%}={1948}(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{1948}{13}

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

\frac{x\%}{100\%}=\frac{13}{1948}

\Rightarrow{x} = {0.67\%}

Therefore, {13} is {0.67\%} of {1948}.

#### Solution for 1948 is what percent of 13:

1948:13*100 =

(1948*100):13 =

194800:13 = 14984.62

Now we have: 1948 is what percent of 13 = 14984.62

Question: 1948 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\%}={1948}.

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

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

{x\%}={1948}(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}{1948}

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

\frac{x\%}{100\%}=\frac{1948}{13}

\Rightarrow{x} = {14984.62\%}

Therefore, {1948} is {14984.62\%} of {13}.

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