#### Solution for 151 is what percent of 55:

151:55*100 =

(151*100):55 =

15100:55 = 274.55

Now we have: 151 is what percent of 55 = 274.55

Question: 151 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

Step 4: In the same vein, {x\%}={151}.

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

{100\%}={55}(1).

{x\%}={151}(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{55}{151}

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

\frac{x\%}{100\%}=\frac{151}{55}

\Rightarrow{x} = {274.55\%}

Therefore, {151} is {274.55\%} of {55}.

#### Solution for 55 is what percent of 151:

55:151*100 =

(55*100):151 =

5500:151 = 36.42

Now we have: 55 is what percent of 151 = 36.42

Question: 55 is what percent of 151?

Percentage solution with steps:

Step 1: We make the assumption that 151 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\%}={151}.

Step 4: In the same vein, {x\%}={55}.

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

{100\%}={151}(1).

{x\%}={55}(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{151}{55}

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

\frac{x\%}{100\%}=\frac{55}{151}

\Rightarrow{x} = {36.42\%}

Therefore, {55} is {36.42\%} of {151}.

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