#### Solution for 120 is what percent of 135:

120:135*100 =

(120*100):135 =

12000:135 = 88.89

Now we have: 120 is what percent of 135 = 88.89

Question: 120 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\%}={120}.

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

{100\%}={135}(1).

{x\%}={120}(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}{120}

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

\frac{x\%}{100\%}=\frac{120}{135}

\Rightarrow{x} = {88.89\%}

Therefore, {120} is {88.89\%} of {135}.

#### Solution for 135 is what percent of 120:

135:120*100 =

(135*100):120 =

13500:120 = 112.5

Now we have: 135 is what percent of 120 = 112.5

Question: 135 is what percent of 120?

Percentage solution with steps:

Step 1: We make the assumption that 120 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\%}={120}.

Step 4: In the same vein, {x\%}={135}.

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

{100\%}={120}(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{120}{135}

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

\frac{x\%}{100\%}=\frac{135}{120}

\Rightarrow{x} = {112.5\%}

Therefore, {135} is {112.5\%} of {120}.

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