#### Solution for 40 is what percent of 551:

40:551*100 =

(40*100):551 =

4000:551 = 7.26

Now we have: 40 is what percent of 551 = 7.26

Question: 40 is what percent of 551?

Percentage solution with steps:

Step 1: We make the assumption that 551 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\%}={551}.

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

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

{100\%}={551}(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{551}{40}

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

\frac{x\%}{100\%}=\frac{40}{551}

\Rightarrow{x} = {7.26\%}

Therefore, {40} is {7.26\%} of {551}.

#### Solution for 551 is what percent of 40:

551:40*100 =

(551*100):40 =

55100:40 = 1377.5

Now we have: 551 is what percent of 40 = 1377.5

Question: 551 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\%}={551}.

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

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

{x\%}={551}(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}{551}

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

\frac{x\%}{100\%}=\frac{551}{40}

\Rightarrow{x} = {1377.5\%}

Therefore, {551} is {1377.5\%} of {40}.

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