#### Solution for 113 is what percent of 1048:

113:1048*100 =

(113*100):1048 =

11300:1048 = 10.78

Now we have: 113 is what percent of 1048 = 10.78

Question: 113 is what percent of 1048?

Percentage solution with steps:

Step 1: We make the assumption that 1048 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\%}={1048}.

Step 4: In the same vein, {x\%}={113}.

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

{100\%}={1048}(1).

{x\%}={113}(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{1048}{113}

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

\frac{x\%}{100\%}=\frac{113}{1048}

\Rightarrow{x} = {10.78\%}

Therefore, {113} is {10.78\%} of {1048}.

#### Solution for 1048 is what percent of 113:

1048:113*100 =

(1048*100):113 =

104800:113 = 927.43

Now we have: 1048 is what percent of 113 = 927.43

Question: 1048 is what percent of 113?

Percentage solution with steps:

Step 1: We make the assumption that 113 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\%}={113}.

Step 4: In the same vein, {x\%}={1048}.

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

{100\%}={113}(1).

{x\%}={1048}(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{113}{1048}

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

\frac{x\%}{100\%}=\frac{1048}{113}

\Rightarrow{x} = {927.43\%}

Therefore, {1048} is {927.43\%} of {113}.

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