#### Solution for 4 is what percent of 40:

4:40*100 =

(4*100):40 =

400:40 = 10

Now we have: 4 is what percent of 40 = 10

Question: 4 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\%}={4}.

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

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

{x\%}={4}(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}{4}

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

\frac{x\%}{100\%}=\frac{4}{40}

\Rightarrow{x} = {10\%}

Therefore, {4} is {10\%} of {40}.

#### Solution for 40 is what percent of 4:

40:4*100 =

(40*100):4 =

4000:4 = 1000

Now we have: 40 is what percent of 4 = 1000

Question: 40 is what percent of 4?

Percentage solution with steps:

Step 1: We make the assumption that 4 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\%}={4}.

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

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

{100\%}={4}(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{4}{40}

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

\frac{x\%}{100\%}=\frac{40}{4}

\Rightarrow{x} = {1000\%}

Therefore, {40} is {1000\%} of {4}.

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