#### Solution for 525 is what percent of 820:

525:820*100 =

(525*100):820 =

52500:820 = 64.02

Now we have: 525 is what percent of 820 = 64.02

Question: 525 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\%}={525}.

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

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

{x\%}={525}(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}{525}

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

\frac{x\%}{100\%}=\frac{525}{820}

\Rightarrow{x} = {64.02\%}

Therefore, {525} is {64.02\%} of {820}.

#### Solution for 820 is what percent of 525:

820:525*100 =

(820*100):525 =

82000:525 = 156.19

Now we have: 820 is what percent of 525 = 156.19

Question: 820 is what percent of 525?

Percentage solution with steps:

Step 1: We make the assumption that 525 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\%}={525}.

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

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

{100\%}={525}(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{525}{820}

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

\frac{x\%}{100\%}=\frac{820}{525}

\Rightarrow{x} = {156.19\%}

Therefore, {820} is {156.19\%} of {525}.

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