#### Solution for 470 is what percent of 525:

470:525*100 =

(470*100):525 =

47000:525 = 89.52

Now we have: 470 is what percent of 525 = 89.52

Question: 470 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\%}={470}.

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

{100\%}={525}(1).

{x\%}={470}(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}{470}

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

\frac{x\%}{100\%}=\frac{470}{525}

\Rightarrow{x} = {89.52\%}

Therefore, {470} is {89.52\%} of {525}.

#### Solution for 525 is what percent of 470:

525:470*100 =

(525*100):470 =

52500:470 = 111.7

Now we have: 525 is what percent of 470 = 111.7

Question: 525 is what percent of 470?

Percentage solution with steps:

Step 1: We make the assumption that 470 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\%}={470}.

Step 4: In the same vein, {x\%}={525}.

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

{100\%}={470}(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{470}{525}

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

\frac{x\%}{100\%}=\frac{525}{470}

\Rightarrow{x} = {111.7\%}

Therefore, {525} is {111.7\%} of {470}.

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