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Solution for 363 is what percent of 55:

363:55*100 =

(363*100):55 =

36300:55 = 660

Now we have: 363 is what percent of 55 = 660

Question: 363 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\%}={363}.

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

{100\%}={55}(1).

{x\%}={363}(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}{363}

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

\frac{x\%}{100\%}=\frac{363}{55}

\Rightarrow{x} = {660\%}

Therefore, {363} is {660\%} of {55}.

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• 363 is what percent of 30 = 1210
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Solution for 55 is what percent of 363:

55:363*100 =

(55*100):363 =

5500:363 = 15.15

Now we have: 55 is what percent of 363 = 15.15

Question: 55 is what percent of 363?

Percentage solution with steps:

Step 1: We make the assumption that 363 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\%}={363}.

Step 4: In the same vein, {x\%}={55}.

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

{100\%}={363}(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{363}{55}

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

\frac{x\%}{100\%}=\frac{55}{363}

\Rightarrow{x} = {15.15\%}

Therefore, {55} is {15.15\%} of {363}.