#### Solution for 54 is what percent of 820:

54:820*100 =

(54*100):820 =

5400:820 = 6.59

Now we have: 54 is what percent of 820 = 6.59

Question: 54 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\%}={54}.

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

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

{x\%}={54}(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}{54}

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

\frac{x\%}{100\%}=\frac{54}{820}

\Rightarrow{x} = {6.59\%}

Therefore, {54} is {6.59\%} of {820}.

#### Solution for 820 is what percent of 54:

820:54*100 =

(820*100):54 =

82000:54 = 1518.52

Now we have: 820 is what percent of 54 = 1518.52

Question: 820 is what percent of 54?

Percentage solution with steps:

Step 1: We make the assumption that 54 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\%}={54}.

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

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

{100\%}={54}(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{54}{820}

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

\frac{x\%}{100\%}=\frac{820}{54}

\Rightarrow{x} = {1518.52\%}

Therefore, {820} is {1518.52\%} of {54}.

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