#### Solution for 611 is what percent of 820:

611:820*100 =

(611*100):820 =

61100:820 = 74.51

Now we have: 611 is what percent of 820 = 74.51

Question: 611 is what percent of 820?

Percentage solution with steps:

Step 1: We make the assumption that 820 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\%}={820}.

Step 4: In the same vein, {x\%}={611}.

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

{100\%}={820}(1).

{x\%}={611}(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{820}{611}

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

\frac{x\%}{100\%}=\frac{611}{820}

\Rightarrow{x} = {74.51\%}

Therefore, {611} is {74.51\%} of {820}.

#### Solution for 820 is what percent of 611:

820:611*100 =

(820*100):611 =

82000:611 = 134.21

Now we have: 820 is what percent of 611 = 134.21

Question: 820 is what percent of 611?

Percentage solution with steps:

Step 1: We make the assumption that 611 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\%}={611}.

Step 4: In the same vein, {x\%}={820}.

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

{100\%}={611}(1).

{x\%}={820}(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{611}{820}

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

\frac{x\%}{100\%}=\frac{820}{611}

\Rightarrow{x} = {134.21\%}

Therefore, {820} is {134.21\%} of {611}.

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