#### Solution for 49 is what percent of 1637:

49:1637*100 =

(49*100):1637 =

4900:1637 = 2.99

Now we have: 49 is what percent of 1637 = 2.99

Question: 49 is what percent of 1637?

Percentage solution with steps:

Step 1: We make the assumption that 1637 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\%}={1637}.

Step 4: In the same vein, {x\%}={49}.

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

{100\%}={1637}(1).

{x\%}={49}(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{1637}{49}

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

\frac{x\%}{100\%}=\frac{49}{1637}

\Rightarrow{x} = {2.99\%}

Therefore, {49} is {2.99\%} of {1637}.

#### Solution for 1637 is what percent of 49:

1637:49*100 =

(1637*100):49 =

163700:49 = 3340.82

Now we have: 1637 is what percent of 49 = 3340.82

Question: 1637 is what percent of 49?

Percentage solution with steps:

Step 1: We make the assumption that 49 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\%}={49}.

Step 4: In the same vein, {x\%}={1637}.

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

{100\%}={49}(1).

{x\%}={1637}(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{49}{1637}

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

\frac{x\%}{100\%}=\frac{1637}{49}

\Rightarrow{x} = {3340.82\%}

Therefore, {1637} is {3340.82\%} of {49}.

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