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Solution for 125 is what percent of 48:

125:48*100 =

(125*100):48 =

12500:48 = 260.42

Now we have: 125 is what percent of 48 = 260.42

Question: 125 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\%}={125}.

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

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

{x\%}={125}(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}{125}

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

\frac{x\%}{100\%}=\frac{125}{48}

\Rightarrow{x} = {260.42\%}

Therefore, {125} is {260.42\%} of {48}.

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Solution for 48 is what percent of 125:

48:125*100 =

(48*100):125 =

4800:125 = 38.4

Now we have: 48 is what percent of 125 = 38.4

Question: 48 is what percent of 125?

Percentage solution with steps:

Step 1: We make the assumption that 125 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\%}={125}.

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

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

{100\%}={125}(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{125}{48}

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

\frac{x\%}{100\%}=\frac{48}{125}

\Rightarrow{x} = {38.4\%}

Therefore, {48} is {38.4\%} of {125}.