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Solution for 820 is what percent of 47:

820:47*100 =

(820*100):47 =

82000:47 = 1744.68

Now we have: 820 is what percent of 47 = 1744.68

Question: 820 is what percent of 47?

Percentage solution with steps:

Step 1: We make the assumption that 47 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\%}={47}.

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

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

{100\%}={47}(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{47}{820}

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

\frac{x\%}{100\%}=\frac{820}{47}

\Rightarrow{x} = {1744.68\%}

Therefore, {820} is {1744.68\%} of {47}.

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Solution for 47 is what percent of 820:

47:820*100 =

(47*100):820 =

4700:820 = 5.73

Now we have: 47 is what percent of 820 = 5.73

Question: 47 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\%}={47}.

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

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

{x\%}={47}(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}{47}

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

\frac{x\%}{100\%}=\frac{47}{820}

\Rightarrow{x} = {5.73\%}

Therefore, {47} is {5.73\%} of {820}.