#### Solution for 826 is what percent of 1075:

826:1075*100 =

(826*100):1075 =

82600:1075 = 76.84

Now we have: 826 is what percent of 1075 = 76.84

Question: 826 is what percent of 1075?

Percentage solution with steps:

Step 1: We make the assumption that 1075 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\%}={1075}.

Step 4: In the same vein, {x\%}={826}.

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

{100\%}={1075}(1).

{x\%}={826}(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{1075}{826}

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

\frac{x\%}{100\%}=\frac{826}{1075}

\Rightarrow{x} = {76.84\%}

Therefore, {826} is {76.84\%} of {1075}.

#### Solution for 1075 is what percent of 826:

1075:826*100 =

(1075*100):826 =

107500:826 = 130.15

Now we have: 1075 is what percent of 826 = 130.15

Question: 1075 is what percent of 826?

Percentage solution with steps:

Step 1: We make the assumption that 826 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\%}={826}.

Step 4: In the same vein, {x\%}={1075}.

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

{100\%}={826}(1).

{x\%}={1075}(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{826}{1075}

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

\frac{x\%}{100\%}=\frac{1075}{826}

\Rightarrow{x} = {130.15\%}

Therefore, {1075} is {130.15\%} of {826}.

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