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Solution for 105 is what percent of 1055:

105:1055*100 =

(105*100):1055 =

10500:1055 = 9.95

Now we have: 105 is what percent of 1055 = 9.95

Question: 105 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\%}={105}.

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

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

{x\%}={105}(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}{105}

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

\frac{x\%}{100\%}=\frac{105}{1055}

\Rightarrow{x} = {9.95\%}

Therefore, {105} is {9.95\%} of {1055}.

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Solution for 1055 is what percent of 105:

1055:105*100 =

(1055*100):105 =

105500:105 = 1004.76

Now we have: 1055 is what percent of 105 = 1004.76

Question: 1055 is what percent of 105?

Percentage solution with steps:

Step 1: We make the assumption that 105 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\%}={105}.

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

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

{100\%}={105}(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{105}{1055}

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

\frac{x\%}{100\%}=\frac{1055}{105}

\Rightarrow{x} = {1004.76\%}

Therefore, {1055} is {1004.76\%} of {105}.