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Solution for 1055 is what percent of 33:

1055:33*100 =

(1055*100):33 =

105500:33 = 3196.97

Now we have: 1055 is what percent of 33 = 3196.97

Question: 1055 is what percent of 33?

Percentage solution with steps:

Step 1: We make the assumption that 33 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\%}={33}.

Step 4: In the same vein, {x\%}={1055}.

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

{100\%}={33}(1).

{x\%}={1055}(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{33}{1055}

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

\frac{x\%}{100\%}=\frac{1055}{33}

\Rightarrow{x} = {3196.97\%}

Therefore, {1055} is {3196.97\%} of {33}.

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Solution for 33 is what percent of 1055:

33:1055*100 =

(33*100):1055 =

3300:1055 = 3.13

Now we have: 33 is what percent of 1055 = 3.13

Question: 33 is what percent of 1055?

Percentage solution with steps:

Step 1: We make the assumption that 1055 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\%}={1055}.

Step 4: In the same vein, {x\%}={33}.

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

{100\%}={1055}(1).

{x\%}={33}(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{1055}{33}

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

\frac{x\%}{100\%}=\frac{33}{1055}

\Rightarrow{x} = {3.13\%}

Therefore, {33} is {3.13\%} of {1055}.