#### Solution for 204 is what percent of 462:

204:462*100 =

(204*100):462 =

20400:462 = 44.16

Now we have: 204 is what percent of 462 = 44.16

Question: 204 is what percent of 462?

Percentage solution with steps:

Step 1: We make the assumption that 462 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\%}={462}.

Step 4: In the same vein, {x\%}={204}.

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

{100\%}={462}(1).

{x\%}={204}(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{462}{204}

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

\frac{x\%}{100\%}=\frac{204}{462}

\Rightarrow{x} = {44.16\%}

Therefore, {204} is {44.16\%} of {462}.

#### Solution for 462 is what percent of 204:

462:204*100 =

(462*100):204 =

46200:204 = 226.47

Now we have: 462 is what percent of 204 = 226.47

Question: 462 is what percent of 204?

Percentage solution with steps:

Step 1: We make the assumption that 204 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\%}={204}.

Step 4: In the same vein, {x\%}={462}.

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

{100\%}={204}(1).

{x\%}={462}(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{204}{462}

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

\frac{x\%}{100\%}=\frac{462}{204}

\Rightarrow{x} = {226.47\%}

Therefore, {462} is {226.47\%} of {204}.

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