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Solution for 55 is what percent of 3980:

55:3980*100 =

(55*100):3980 =

5500:3980 = 1.38

Now we have: 55 is what percent of 3980 = 1.38

Question: 55 is what percent of 3980?

Percentage solution with steps:

Step 1: We make the assumption that 3980 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\%}={3980}.

Step 4: In the same vein, {x\%}={55}.

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

{100\%}={3980}(1).

{x\%}={55}(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{3980}{55}

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

\frac{x\%}{100\%}=\frac{55}{3980}

\Rightarrow{x} = {1.38\%}

Therefore, {55} is {1.38\%} of {3980}.

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Solution for 3980 is what percent of 55:

3980:55*100 =

(3980*100):55 =

398000:55 = 7236.36

Now we have: 3980 is what percent of 55 = 7236.36

Question: 3980 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

Step 4: In the same vein, {x\%}={3980}.

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

{100\%}={55}(1).

{x\%}={3980}(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{55}{3980}

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

\frac{x\%}{100\%}=\frac{3980}{55}

\Rightarrow{x} = {7236.36\%}

Therefore, {3980} is {7236.36\%} of {55}.