#### Solution for 253 is what percent of 160:

253:160*100 =

(253*100):160 =

25300:160 = 158.13

Now we have: 253 is what percent of 160 = 158.13

Question: 253 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\%}={253}.

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

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

{x\%}={253}(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}{253}

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

\frac{x\%}{100\%}=\frac{253}{160}

\Rightarrow{x} = {158.13\%}

Therefore, {253} is {158.13\%} of {160}.

#### Solution for 160 is what percent of 253:

160:253*100 =

(160*100):253 =

16000:253 = 63.24

Now we have: 160 is what percent of 253 = 63.24

Question: 160 is what percent of 253?

Percentage solution with steps:

Step 1: We make the assumption that 253 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\%}={253}.

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

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

{100\%}={253}(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{253}{160}

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

\frac{x\%}{100\%}=\frac{160}{253}

\Rightarrow{x} = {63.24\%}

Therefore, {160} is {63.24\%} of {253}.

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