#### Solution for 255 is what percent of 465:

255:465*100 =

(255*100):465 =

25500:465 = 54.84

Now we have: 255 is what percent of 465 = 54.84

Question: 255 is what percent of 465?

Percentage solution with steps:

Step 1: We make the assumption that 465 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\%}={465}.

Step 4: In the same vein, {x\%}={255}.

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

{100\%}={465}(1).

{x\%}={255}(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{465}{255}

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

\frac{x\%}{100\%}=\frac{255}{465}

\Rightarrow{x} = {54.84\%}

Therefore, {255} is {54.84\%} of {465}.

#### Solution for 465 is what percent of 255:

465:255*100 =

(465*100):255 =

46500:255 = 182.35

Now we have: 465 is what percent of 255 = 182.35

Question: 465 is what percent of 255?

Percentage solution with steps:

Step 1: We make the assumption that 255 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\%}={255}.

Step 4: In the same vein, {x\%}={465}.

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

{100\%}={255}(1).

{x\%}={465}(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{255}{465}

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

\frac{x\%}{100\%}=\frac{465}{255}

\Rightarrow{x} = {182.35\%}

Therefore, {465} is {182.35\%} of {255}.

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