#### Solution for 105 is what percent of 265:

105:265*100 =

(105*100):265 =

10500:265 = 39.62

Now we have: 105 is what percent of 265 = 39.62

Question: 105 is what percent of 265?

Percentage solution with steps:

Step 1: We make the assumption that 265 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\%}={265}.

Step 4: In the same vein, {x\%}={105}.

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

{100\%}={265}(1).

{x\%}={105}(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{265}{105}

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

\frac{x\%}{100\%}=\frac{105}{265}

\Rightarrow{x} = {39.62\%}

Therefore, {105} is {39.62\%} of {265}.

#### Solution for 265 is what percent of 105:

265:105*100 =

(265*100):105 =

26500:105 = 252.38

Now we have: 265 is what percent of 105 = 252.38

Question: 265 is what percent of 105?

Percentage solution with steps:

Step 1: We make the assumption that 105 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\%}={105}.

Step 4: In the same vein, {x\%}={265}.

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

{100\%}={105}(1).

{x\%}={265}(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{105}{265}

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

\frac{x\%}{100\%}=\frac{265}{105}

\Rightarrow{x} = {252.38\%}

Therefore, {265} is {252.38\%} of {105}.

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