#### Solution for 882 is what percent of 980:

882:980*100 =

(882*100):980 =

88200:980 = 90

Now we have: 882 is what percent of 980 = 90

Question: 882 is what percent of 980?

Percentage solution with steps:

Step 1: We make the assumption that 980 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\%}={980}.

Step 4: In the same vein, {x\%}={882}.

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

{100\%}={980}(1).

{x\%}={882}(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{980}{882}

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

\frac{x\%}{100\%}=\frac{882}{980}

\Rightarrow{x} = {90\%}

Therefore, {882} is {90\%} of {980}.

#### Solution for 980 is what percent of 882:

980:882*100 =

(980*100):882 =

98000:882 = 111.11

Now we have: 980 is what percent of 882 = 111.11

Question: 980 is what percent of 882?

Percentage solution with steps:

Step 1: We make the assumption that 882 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\%}={882}.

Step 4: In the same vein, {x\%}={980}.

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

{100\%}={882}(1).

{x\%}={980}(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{882}{980}

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

\frac{x\%}{100\%}=\frac{980}{882}

\Rightarrow{x} = {111.11\%}

Therefore, {980} is {111.11\%} of {882}.

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