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Solution for 55 is what percent of 510:

55:510*100 =

(55*100):510 =

5500:510 = 10.78

Now we have: 55 is what percent of 510 = 10.78

Question: 55 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\%}={55}.

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

{100\%}={510}(1).

{x\%}={55}(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}{55}

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

\frac{x\%}{100\%}=\frac{55}{510}

\Rightarrow{x} = {10.78\%}

Therefore, {55} is {10.78\%} of {510}.

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Solution for 510 is what percent of 55:

510:55*100 =

(510*100):55 =

51000:55 = 927.27

Now we have: 510 is what percent of 55 = 927.27

Question: 510 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

Step 4: In the same vein, {x\%}={510}.

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

{100\%}={55}(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{55}{510}

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

\frac{x\%}{100\%}=\frac{510}{55}

\Rightarrow{x} = {927.27\%}

Therefore, {510} is {927.27\%} of {55}.