#### Solution for 48 is what percent of 192:

48:192*100 =

(48*100):192 =

4800:192 = 25

Now we have: 48 is what percent of 192 = 25

Question: 48 is what percent of 192?

Percentage solution with steps:

Step 1: We make the assumption that 192 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\%}={192}.

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

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

{100\%}={192}(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{192}{48}

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

\frac{x\%}{100\%}=\frac{48}{192}

\Rightarrow{x} = {25\%}

Therefore, {48} is {25\%} of {192}.

#### Solution for 192 is what percent of 48:

192:48*100 =

(192*100):48 =

19200:48 = 400

Now we have: 192 is what percent of 48 = 400

Question: 192 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\%}={192}.

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

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

{x\%}={192}(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}{192}

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

\frac{x\%}{100\%}=\frac{192}{48}

\Rightarrow{x} = {400\%}

Therefore, {192} is {400\%} of {48}.

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