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Solution for 363 is what percent of 466:

363:466*100 =

(363*100):466 =

36300:466 = 77.9

Now we have: 363 is what percent of 466 = 77.9

Question: 363 is what percent of 466?

Percentage solution with steps:

Step 1: We make the assumption that 466 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\%}={466}.

Step 4: In the same vein, {x\%}={363}.

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

{100\%}={466}(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{466}{363}

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

\frac{x\%}{100\%}=\frac{363}{466}

\Rightarrow{x} = {77.9\%}

Therefore, {363} is {77.9\%} of {466}.

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Solution for 466 is what percent of 363:

466:363*100 =

(466*100):363 =

46600:363 = 128.37

Now we have: 466 is what percent of 363 = 128.37

Question: 466 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\%}={466}.

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

{100\%}={363}(1).

{x\%}={466}(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}{466}

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

\frac{x\%}{100\%}=\frac{466}{363}

\Rightarrow{x} = {128.37\%}

Therefore, {466} is {128.37\%} of {363}.