#### Solution for 135 is what percent of 510:

135:510*100 =

(135*100):510 =

13500:510 = 26.47

Now we have: 135 is what percent of 510 = 26.47

Question: 135 is what percent of 510?

Percentage solution with steps:

Step 1: We make the assumption that 510 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\%}={510}.

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

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

{100\%}={510}(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{510}{135}

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

\frac{x\%}{100\%}=\frac{135}{510}

\Rightarrow{x} = {26.47\%}

Therefore, {135} is {26.47\%} of {510}.

#### Solution for 510 is what percent of 135:

510:135*100 =

(510*100):135 =

51000:135 = 377.78

Now we have: 510 is what percent of 135 = 377.78

Question: 510 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\%}={510}.

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

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

{x\%}={510}(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}{510}

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

\frac{x\%}{100\%}=\frac{510}{135}

\Rightarrow{x} = {377.78\%}

Therefore, {510} is {377.78\%} of {135}.

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