#### Solution for 828 is what percent of 940:

828:940*100 =

(828*100):940 =

82800:940 = 88.09

Now we have: 828 is what percent of 940 = 88.09

Question: 828 is what percent of 940?

Percentage solution with steps:

Step 1: We make the assumption that 940 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\%}={940}.

Step 4: In the same vein, {x\%}={828}.

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

{100\%}={940}(1).

{x\%}={828}(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{940}{828}

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

\frac{x\%}{100\%}=\frac{828}{940}

\Rightarrow{x} = {88.09\%}

Therefore, {828} is {88.09\%} of {940}.

#### Solution for 940 is what percent of 828:

940:828*100 =

(940*100):828 =

94000:828 = 113.53

Now we have: 940 is what percent of 828 = 113.53

Question: 940 is what percent of 828?

Percentage solution with steps:

Step 1: We make the assumption that 828 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\%}={828}.

Step 4: In the same vein, {x\%}={940}.

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

{100\%}={828}(1).

{x\%}={940}(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{828}{940}

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

\frac{x\%}{100\%}=\frac{940}{828}

\Rightarrow{x} = {113.53\%}

Therefore, {940} is {113.53\%} of {828}.

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