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Solution for 240 is what percent of 45:

240:45*100 =

(240*100):45 =

24000:45 = 533.33

Now we have: 240 is what percent of 45 = 533.33

Question: 240 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={45}.

Step 4: In the same vein, {x\%}={240}.

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

{100\%}={45}(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{45}{240}

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

\frac{x\%}{100\%}=\frac{240}{45}

\Rightarrow{x} = {533.33\%}

Therefore, {240} is {533.33\%} of {45}.

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Solution for 45 is what percent of 240:

45:240*100 =

(45*100):240 =

4500:240 = 18.75

Now we have: 45 is what percent of 240 = 18.75

Question: 45 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\%}={45}.

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

{100\%}={240}(1).

{x\%}={45}(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}{45}

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

\frac{x\%}{100\%}=\frac{45}{240}

\Rightarrow{x} = {18.75\%}

Therefore, {45} is {18.75\%} of {240}.