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Solution for 160 is what percent of 582:

160:582*100 =

(160*100):582 =

16000:582 = 27.49

Now we have: 160 is what percent of 582 = 27.49

Question: 160 is what percent of 582?

Percentage solution with steps:

Step 1: We make the assumption that 582 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\%}={582}.

Step 4: In the same vein, {x\%}={160}.

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

{100\%}={582}(1).

{x\%}={160}(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{582}{160}

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

\frac{x\%}{100\%}=\frac{160}{582}

\Rightarrow{x} = {27.49\%}

Therefore, {160} is {27.49\%} of {582}.

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Solution for 582 is what percent of 160:

582:160*100 =

(582*100):160 =

58200:160 = 363.75

Now we have: 582 is what percent of 160 = 363.75

Question: 582 is what percent of 160?

Percentage solution with steps:

Step 1: We make the assumption that 160 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\%}={160}.

Step 4: In the same vein, {x\%}={582}.

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

{100\%}={160}(1).

{x\%}={582}(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{160}{582}

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

\frac{x\%}{100\%}=\frac{582}{160}

\Rightarrow{x} = {363.75\%}

Therefore, {582} is {363.75\%} of {160}.