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Solution for 40 is what percent of 416:

40:416*100 =

(40*100):416 =

4000:416 = 9.62

Now we have: 40 is what percent of 416 = 9.62

Question: 40 is what percent of 416?

Percentage solution with steps:

Step 1: We make the assumption that 416 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\%}={416}.

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

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

{100\%}={416}(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{416}{40}

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

\frac{x\%}{100\%}=\frac{40}{416}

\Rightarrow{x} = {9.62\%}

Therefore, {40} is {9.62\%} of {416}.

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Solution for 416 is what percent of 40:

416:40*100 =

(416*100):40 =

41600:40 = 1040

Now we have: 416 is what percent of 40 = 1040

Question: 416 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\%}={416}.

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

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

{x\%}={416}(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}{416}

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

\frac{x\%}{100\%}=\frac{416}{40}

\Rightarrow{x} = {1040\%}

Therefore, {416} is {1040\%} of {40}.