#### Solution for 135 is what percent of 275:

135:275*100 =

(135*100):275 =

13500:275 = 49.09

Now we have: 135 is what percent of 275 = 49.09

Question: 135 is what percent of 275?

Percentage solution with steps:

Step 1: We make the assumption that 275 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\%}={275}.

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

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

{100\%}={275}(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{275}{135}

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

\frac{x\%}{100\%}=\frac{135}{275}

\Rightarrow{x} = {49.09\%}

Therefore, {135} is {49.09\%} of {275}.

#### Solution for 275 is what percent of 135:

275:135*100 =

(275*100):135 =

27500:135 = 203.7

Now we have: 275 is what percent of 135 = 203.7

Question: 275 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\%}={275}.

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

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

{x\%}={275}(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}{275}

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

\frac{x\%}{100\%}=\frac{275}{135}

\Rightarrow{x} = {203.7\%}

Therefore, {275} is {203.7\%} of {135}.

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