#### Solution for 155 is what percent of 455:

155:455*100 =

(155*100):455 =

15500:455 = 34.07

Now we have: 155 is what percent of 455 = 34.07

Question: 155 is what percent of 455?

Percentage solution with steps:

Step 1: We make the assumption that 455 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\%}={455}.

Step 4: In the same vein, {x\%}={155}.

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

{100\%}={455}(1).

{x\%}={155}(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{455}{155}

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

\frac{x\%}{100\%}=\frac{155}{455}

\Rightarrow{x} = {34.07\%}

Therefore, {155} is {34.07\%} of {455}.

#### Solution for 455 is what percent of 155:

455:155*100 =

(455*100):155 =

45500:155 = 293.55

Now we have: 455 is what percent of 155 = 293.55

Question: 455 is what percent of 155?

Percentage solution with steps:

Step 1: We make the assumption that 155 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\%}={155}.

Step 4: In the same vein, {x\%}={455}.

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

{100\%}={155}(1).

{x\%}={455}(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{155}{455}

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

\frac{x\%}{100\%}=\frac{455}{155}

\Rightarrow{x} = {293.55\%}

Therefore, {455} is {293.55\%} of {155}.

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