#### Solution for 7 is what percent of 40:

7: 40*100 =

(7*100): 40 =

700: 40 = 17.5

Now we have: 7 is what percent of 40 = 17.5

Question: 7 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\%}={7}.

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

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

{x\%}={7}(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}{7}

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

\frac{x\%}{100\%}=\frac{7}{ 40}

\Rightarrow{x} = {17.5\%}

Therefore, {7} is {17.5\%} of { 40}.

#### Solution for 40 is what percent of 7:

40:7*100 =

( 40*100):7 =

4000:7 = 571.43

Now we have: 40 is what percent of 7 = 571.43

Question: 40 is what percent of 7?

Percentage solution with steps:

Step 1: We make the assumption that 7 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\%}={7}.

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

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

{100\%}={7}(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{7}{ 40}

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

\frac{x\%}{100\%}=\frac{ 40}{7}

\Rightarrow{x} = {571.43\%}

Therefore, { 40} is {571.43\%} of {7}.

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