#### Solution for 1120 is what percent of 88.2:

1120:88.2*100 =

(1120*100):88.2 =

112000:88.2 = 1269.8412698413

Now we have: 1120 is what percent of 88.2 = 1269.8412698413

Question: 1120 is what percent of 88.2?

Percentage solution with steps:

Step 1: We make the assumption that 88.2 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\%}={88.2}.

Step 4: In the same vein, {x\%}={1120}.

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

{100\%}={88.2}(1).

{x\%}={1120}(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{88.2}{1120}

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

\frac{x\%}{100\%}=\frac{1120}{88.2}

\Rightarrow{x} = {1269.8412698413\%}

Therefore, {1120} is {1269.8412698413\%} of {88.2}.

#### Solution for 88.2 is what percent of 1120:

88.2:1120*100 =

(88.2*100):1120 =

8820:1120 = 7.875

Now we have: 88.2 is what percent of 1120 = 7.875

Question: 88.2 is what percent of 1120?

Percentage solution with steps:

Step 1: We make the assumption that 1120 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\%}={1120}.

Step 4: In the same vein, {x\%}={88.2}.

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

{100\%}={1120}(1).

{x\%}={88.2}(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{1120}{88.2}

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

\frac{x\%}{100\%}=\frac{88.2}{1120}

\Rightarrow{x} = {7.875\%}

Therefore, {88.2} is {7.875\%} of {1120}.

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