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Solution for 1355 is what percent of 55:

1355:55*100 =

(1355*100):55 =

135500:55 = 2463.64

Now we have: 1355 is what percent of 55 = 2463.64

Question: 1355 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\%}={1355}.

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

{100\%}={55}(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{55}{1355}

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

\frac{x\%}{100\%}=\frac{1355}{55}

\Rightarrow{x} = {2463.64\%}

Therefore, {1355} is {2463.64\%} of {55}.

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• 1355 is what percent of 100 = 1355

Solution for 55 is what percent of 1355:

55:1355*100 =

(55*100):1355 =

5500:1355 = 4.06

Now we have: 55 is what percent of 1355 = 4.06

Question: 55 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\%}={55}.

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

{100\%}={1355}(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{1355}{55}

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

\frac{x\%}{100\%}=\frac{55}{1355}

\Rightarrow{x} = {4.06\%}

Therefore, {55} is {4.06\%} of {1355}.