#### Solution for 48 is what percent of 135:

48:135*100 =

(48*100):135 =

4800:135 = 35.56

Now we have: 48 is what percent of 135 = 35.56

Question: 48 is what percent of 135?

Percentage solution with steps:

Step 1: We make the assumption that 135 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\%}={135}.

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

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

{100\%}={135}(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{135}{48}

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

\frac{x\%}{100\%}=\frac{48}{135}

\Rightarrow{x} = {35.56\%}

Therefore, {48} is {35.56\%} of {135}.

#### Solution for 135 is what percent of 48:

135:48*100 =

(135*100):48 =

13500:48 = 281.25

Now we have: 135 is what percent of 48 = 281.25

Question: 135 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\%}={135}.

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

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

{x\%}={135}(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}{135}

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

\frac{x\%}{100\%}=\frac{135}{48}

\Rightarrow{x} = {281.25\%}

Therefore, {135} is {281.25\%} of {48}.

Calculation Samples