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Solution for 40 is what percent of 363:

40:363*100 =

(40*100):363 =

4000:363 = 11.02

Now we have: 40 is what percent of 363 = 11.02

Question: 40 is what percent of 363?

Percentage solution with steps:

Step 1: We make the assumption that 363 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\%}={363}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={363}(1).

{x\%}={40}(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{363}{40}

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

\frac{x\%}{100\%}=\frac{40}{363}

\Rightarrow{x} = {11.02\%}

Therefore, {40} is {11.02\%} of {363}.

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Solution for 363 is what percent of 40:

363:40*100 =

(363*100):40 =

36300:40 = 907.5

Now we have: 363 is what percent of 40 = 907.5

Question: 363 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={363}.

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

{100\%}={40}(1).

{x\%}={363}(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{40}{363}

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

\frac{x\%}{100\%}=\frac{363}{40}

\Rightarrow{x} = {907.5\%}

Therefore, {363} is {907.5\%} of {40}.