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Solution for 5500 is what percent of 40:

5500:40*100 =

(5500*100):40 =

550000:40 = 13750

Now we have: 5500 is what percent of 40 = 13750

Question: 5500 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\%}={5500}.

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

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

{x\%}={5500}(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}{5500}

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

\frac{x\%}{100\%}=\frac{5500}{40}

\Rightarrow{x} = {13750\%}

Therefore, {5500} is {13750\%} of {40}.

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Solution for 40 is what percent of 5500:

40:5500*100 =

(40*100):5500 =

4000:5500 = 0.73

Now we have: 40 is what percent of 5500 = 0.73

Question: 40 is what percent of 5500?

Percentage solution with steps:

Step 1: We make the assumption that 5500 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\%}={5500}.

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

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

{100\%}={5500}(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{5500}{40}

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

\frac{x\%}{100\%}=\frac{40}{5500}

\Rightarrow{x} = {0.73\%}

Therefore, {40} is {0.73\%} of {5500}.