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Solution for 475 is what percent of 85:

475:85*100 =

(475*100):85 =

47500:85 = 558.82

Now we have: 475 is what percent of 85 = 558.82

Question: 475 is what percent of 85?

Percentage solution with steps:

Step 1: We make the assumption that 85 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\%}={85}.

Step 4: In the same vein, {x\%}={475}.

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

{100\%}={85}(1).

{x\%}={475}(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{85}{475}

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

\frac{x\%}{100\%}=\frac{475}{85}

\Rightarrow{x} = {558.82\%}

Therefore, {475} is {558.82\%} of {85}.

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• 475 is what percent of 100 = 475

Solution for 85 is what percent of 475:

85:475*100 =

(85*100):475 =

8500:475 = 17.89

Now we have: 85 is what percent of 475 = 17.89

Question: 85 is what percent of 475?

Percentage solution with steps:

Step 1: We make the assumption that 475 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\%}={475}.

Step 4: In the same vein, {x\%}={85}.

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

{100\%}={475}(1).

{x\%}={85}(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{475}{85}

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

\frac{x\%}{100\%}=\frac{85}{475}

\Rightarrow{x} = {17.89\%}

Therefore, {85} is {17.89\%} of {475}.