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Solution for 11.5 is what percent of 48:

11.5:48*100 =

(11.5*100):48 =

1150:48 = 23.958333333333

Now we have: 11.5 is what percent of 48 = 23.958333333333

Question: 11.5 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\%}={11.5}.

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

{100\%}={48}(1).

{x\%}={11.5}(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}{11.5}

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

\frac{x\%}{100\%}=\frac{11.5}{48}

\Rightarrow{x} = {23.958333333333\%}

Therefore, {11.5} is {23.958333333333\%} of {48}.

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Solution for 48 is what percent of 11.5:

48:11.5*100 =

(48*100):11.5 =

4800:11.5 = 417.39130434783

Now we have: 48 is what percent of 11.5 = 417.39130434783

Question: 48 is what percent of 11.5?

Percentage solution with steps:

Step 1: We make the assumption that 11.5 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\%}={11.5}.

Step 4: In the same vein, {x\%}={48}.

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

{100\%}={11.5}(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{11.5}{48}

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

\frac{x\%}{100\%}=\frac{48}{11.5}

\Rightarrow{x} = {417.39130434783\%}

Therefore, {48} is {417.39130434783\%} of {11.5}.