#### Solution for 101 is what percent of 1028:

101:1028*100 =

(101*100):1028 =

10100:1028 = 9.82

Now we have: 101 is what percent of 1028 = 9.82

Question: 101 is what percent of 1028?

Percentage solution with steps:

Step 1: We make the assumption that 1028 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\%}={1028}.

Step 4: In the same vein, {x\%}={101}.

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

{100\%}={1028}(1).

{x\%}={101}(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{1028}{101}

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

\frac{x\%}{100\%}=\frac{101}{1028}

\Rightarrow{x} = {9.82\%}

Therefore, {101} is {9.82\%} of {1028}.

#### Solution for 1028 is what percent of 101:

1028:101*100 =

(1028*100):101 =

102800:101 = 1017.82

Now we have: 1028 is what percent of 101 = 1017.82

Question: 1028 is what percent of 101?

Percentage solution with steps:

Step 1: We make the assumption that 101 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\%}={101}.

Step 4: In the same vein, {x\%}={1028}.

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

{100\%}={101}(1).

{x\%}={1028}(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{101}{1028}

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

\frac{x\%}{100\%}=\frac{1028}{101}

\Rightarrow{x} = {1017.82\%}

Therefore, {1028} is {1017.82\%} of {101}.

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