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Solution for 105 is what percent of 240:

105:240*100 =

(105*100):240 =

10500:240 = 43.75

Now we have: 105 is what percent of 240 = 43.75

Question: 105 is what percent of 240?

Percentage solution with steps:

Step 1: We make the assumption that 240 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\%}={240}.

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

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

{100\%}={240}(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{240}{105}

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

\frac{x\%}{100\%}=\frac{105}{240}

\Rightarrow{x} = {43.75\%}

Therefore, {105} is {43.75\%} of {240}.

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Solution for 240 is what percent of 105:

240:105*100 =

(240*100):105 =

24000:105 = 228.57

Now we have: 240 is what percent of 105 = 228.57

Question: 240 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\%}={240}.

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

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

{x\%}={240}(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}{240}

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

\frac{x\%}{100\%}=\frac{240}{105}

\Rightarrow{x} = {228.57\%}

Therefore, {240} is {228.57\%} of {105}.