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Solution for 1055 is what percent of 45:

1055:45*100 =

(1055*100):45 =

105500:45 = 2344.44

Now we have: 1055 is what percent of 45 = 2344.44

Question: 1055 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={45}.

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

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

{100\%}={45}(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{45}{1055}

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

\frac{x\%}{100\%}=\frac{1055}{45}

\Rightarrow{x} = {2344.44\%}

Therefore, {1055} is {2344.44\%} of {45}.

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Solution for 45 is what percent of 1055:

45:1055*100 =

(45*100):1055 =

4500:1055 = 4.27

Now we have: 45 is what percent of 1055 = 4.27

Question: 45 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\%}={45}.

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

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

{x\%}={45}(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}{45}

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

\frac{x\%}{100\%}=\frac{45}{1055}

\Rightarrow{x} = {4.27\%}

Therefore, {45} is {4.27\%} of {1055}.