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Solution for 1355 is what percent of 49:

1355:49*100 =

(1355*100):49 =

135500:49 = 2765.31

Now we have: 1355 is what percent of 49 = 2765.31

Question: 1355 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\%}={1355}.

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

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

{x\%}={1355}(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}{1355}

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

\frac{x\%}{100\%}=\frac{1355}{49}

\Rightarrow{x} = {2765.31\%}

Therefore, {1355} is {2765.31\%} of {49}.

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• 1355 is what percent of 100 = 1355

Solution for 49 is what percent of 1355:

49:1355*100 =

(49*100):1355 =

4900:1355 = 3.62

Now we have: 49 is what percent of 1355 = 3.62

Question: 49 is what percent of 1355?

Percentage solution with steps:

Step 1: We make the assumption that 1355 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\%}={1355}.

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

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

{100\%}={1355}(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{1355}{49}

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

\frac{x\%}{100\%}=\frac{49}{1355}

\Rightarrow{x} = {3.62\%}

Therefore, {49} is {3.62\%} of {1355}.