#### Solution for 40 is what percent of 1280:

40:1280*100 =

(40*100):1280 =

4000:1280 = 3.13

Now we have: 40 is what percent of 1280 = 3.13

Question: 40 is what percent of 1280?

Percentage solution with steps:

Step 1: We make the assumption that 1280 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\%}={1280}.

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

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

{100\%}={1280}(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{1280}{40}

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

\frac{x\%}{100\%}=\frac{40}{1280}

\Rightarrow{x} = {3.13\%}

Therefore, {40} is {3.13\%} of {1280}.

#### Solution for 1280 is what percent of 40:

1280:40*100 =

(1280*100):40 =

128000:40 = 3200

Now we have: 1280 is what percent of 40 = 3200

Question: 1280 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\%}={1280}.

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

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

{x\%}={1280}(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}{1280}

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

\frac{x\%}{100\%}=\frac{1280}{40}

\Rightarrow{x} = {3200\%}

Therefore, {1280} is {3200\%} of {40}.

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