#### Solution for 40 is what percent of 1480:

40:1480*100 =

(40*100):1480 =

4000:1480 = 2.7

Now we have: 40 is what percent of 1480 = 2.7

Question: 40 is what percent of 1480?

Percentage solution with steps:

Step 1: We make the assumption that 1480 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\%}={1480}.

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

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

{100\%}={1480}(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{1480}{40}

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

\frac{x\%}{100\%}=\frac{40}{1480}

\Rightarrow{x} = {2.7\%}

Therefore, {40} is {2.7\%} of {1480}.

#### Solution for 1480 is what percent of 40:

1480:40*100 =

(1480*100):40 =

148000:40 = 3700

Now we have: 1480 is what percent of 40 = 3700

Question: 1480 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\%}={1480}.

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

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

{x\%}={1480}(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}{1480}

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

\frac{x\%}{100\%}=\frac{1480}{40}

\Rightarrow{x} = {3700\%}

Therefore, {1480} is {3700\%} of {40}.

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