#### Solution for 47 is what percent of 40:

47:40*100 =

(47*100):40 =

4700:40 = 117.5

Now we have: 47 is what percent of 40 = 117.5

Question: 47 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\%}={47}.

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

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

{x\%}={47}(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}{47}

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

\frac{x\%}{100\%}=\frac{47}{40}

\Rightarrow{x} = {117.5\%}

Therefore, {47} is {117.5\%} of {40}.

#### Solution for 40 is what percent of 47:

40:47*100 =

(40*100):47 =

4000:47 = 85.11

Now we have: 40 is what percent of 47 = 85.11

Question: 40 is what percent of 47?

Percentage solution with steps:

Step 1: We make the assumption that 47 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\%}={47}.

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

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

{100\%}={47}(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{47}{40}

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

\frac{x\%}{100\%}=\frac{40}{47}

\Rightarrow{x} = {85.11\%}

Therefore, {40} is {85.11\%} of {47}.

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