#### Solution for 698 is what percent of 827:

698:827*100 =

(698*100):827 =

69800:827 = 84.4

Now we have: 698 is what percent of 827 = 84.4

Question: 698 is what percent of 827?

Percentage solution with steps:

Step 1: We make the assumption that 827 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\%}={827}.

Step 4: In the same vein, {x\%}={698}.

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

{100\%}={827}(1).

{x\%}={698}(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{827}{698}

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

\frac{x\%}{100\%}=\frac{698}{827}

\Rightarrow{x} = {84.4\%}

Therefore, {698} is {84.4\%} of {827}.

#### Solution for 827 is what percent of 698:

827:698*100 =

(827*100):698 =

82700:698 = 118.48

Now we have: 827 is what percent of 698 = 118.48

Question: 827 is what percent of 698?

Percentage solution with steps:

Step 1: We make the assumption that 698 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\%}={698}.

Step 4: In the same vein, {x\%}={827}.

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

{100\%}={698}(1).

{x\%}={827}(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{698}{827}

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

\frac{x\%}{100\%}=\frac{827}{698}

\Rightarrow{x} = {118.48\%}

Therefore, {827} is {118.48\%} of {698}.

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