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Solution for 13.0 is what percent of 48:

13.0:48*100 =

(13.0*100):48 =

1300:48 = 27.083333333333

Now we have: 13.0 is what percent of 48 = 27.083333333333

Question: 13.0 is what percent of 48?

Percentage solution with steps:

Step 1: We make the assumption that 48 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\%}={48}.

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

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

{100\%}={48}(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{48}{13.0}

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

\frac{x\%}{100\%}=\frac{13.0}{48}

\Rightarrow{x} = {27.083333333333\%}

Therefore, {13.0} is {27.083333333333\%} of {48}.

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Solution for 48 is what percent of 13.0:

48:13.0*100 =

(48*100):13.0 =

4800:13.0 = 369.23076923077

Now we have: 48 is what percent of 13.0 = 369.23076923077

Question: 48 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\%}={48}.

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

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

{x\%}={48}(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}{48}

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

\frac{x\%}{100\%}=\frac{48}{13.0}

\Rightarrow{x} = {369.23076923077\%}

Therefore, {48} is {369.23076923077\%} of {13.0}.