#### Solution for 1377 is what percent of 2005:

1377:2005*100 =

(1377*100):2005 =

137700:2005 = 68.68

Now we have: 1377 is what percent of 2005 = 68.68

Question: 1377 is what percent of 2005?

Percentage solution with steps:

Step 1: We make the assumption that 2005 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\%}={2005}.

Step 4: In the same vein, {x\%}={1377}.

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

{100\%}={2005}(1).

{x\%}={1377}(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{2005}{1377}

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

\frac{x\%}{100\%}=\frac{1377}{2005}

\Rightarrow{x} = {68.68\%}

Therefore, {1377} is {68.68\%} of {2005}.

#### Solution for 2005 is what percent of 1377:

2005:1377*100 =

(2005*100):1377 =

200500:1377 = 145.61

Now we have: 2005 is what percent of 1377 = 145.61

Question: 2005 is what percent of 1377?

Percentage solution with steps:

Step 1: We make the assumption that 1377 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\%}={1377}.

Step 4: In the same vein, {x\%}={2005}.

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

{100\%}={1377}(1).

{x\%}={2005}(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{1377}{2005}

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

\frac{x\%}{100\%}=\frac{2005}{1377}

\Rightarrow{x} = {145.61\%}

Therefore, {2005} is {145.61\%} of {1377}.

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