#### Solution for 127 is what percent of 153:

127:153*100 =

(127*100):153 =

12700:153 = 83.01

Now we have: 127 is what percent of 153 = 83.01

Question: 127 is what percent of 153?

Percentage solution with steps:

Step 1: We make the assumption that 153 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\%}={153}.

Step 4: In the same vein, {x\%}={127}.

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

{100\%}={153}(1).

{x\%}={127}(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{153}{127}

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

\frac{x\%}{100\%}=\frac{127}{153}

\Rightarrow{x} = {83.01\%}

Therefore, {127} is {83.01\%} of {153}.

#### Solution for 153 is what percent of 127:

153:127*100 =

(153*100):127 =

15300:127 = 120.47

Now we have: 153 is what percent of 127 = 120.47

Question: 153 is what percent of 127?

Percentage solution with steps:

Step 1: We make the assumption that 127 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\%}={127}.

Step 4: In the same vein, {x\%}={153}.

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

{100\%}={127}(1).

{x\%}={153}(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{127}{153}

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

\frac{x\%}{100\%}=\frac{153}{127}

\Rightarrow{x} = {120.47\%}

Therefore, {153} is {120.47\%} of {127}.

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