#### Solution for 801 is what percent of 1122:

801:1122*100 =

(801*100):1122 =

80100:1122 = 71.39

Now we have: 801 is what percent of 1122 = 71.39

Question: 801 is what percent of 1122?

Percentage solution with steps:

Step 1: We make the assumption that 1122 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\%}={1122}.

Step 4: In the same vein, {x\%}={801}.

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

{100\%}={1122}(1).

{x\%}={801}(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{1122}{801}

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

\frac{x\%}{100\%}=\frac{801}{1122}

\Rightarrow{x} = {71.39\%}

Therefore, {801} is {71.39\%} of {1122}.

#### Solution for 1122 is what percent of 801:

1122:801*100 =

(1122*100):801 =

112200:801 = 140.07

Now we have: 1122 is what percent of 801 = 140.07

Question: 1122 is what percent of 801?

Percentage solution with steps:

Step 1: We make the assumption that 801 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\%}={801}.

Step 4: In the same vein, {x\%}={1122}.

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

{100\%}={801}(1).

{x\%}={1122}(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{801}{1122}

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

\frac{x\%}{100\%}=\frac{1122}{801}

\Rightarrow{x} = {140.07\%}

Therefore, {1122} is {140.07\%} of {801}.

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