#### Solution for 155 is what percent of 431:

155:431*100 =

(155*100):431 =

15500:431 = 35.96

Now we have: 155 is what percent of 431 = 35.96

Question: 155 is what percent of 431?

Percentage solution with steps:

Step 1: We make the assumption that 431 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\%}={431}.

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

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

{100\%}={431}(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{431}{155}

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

\frac{x\%}{100\%}=\frac{155}{431}

\Rightarrow{x} = {35.96\%}

Therefore, {155} is {35.96\%} of {431}.

#### Solution for 431 is what percent of 155:

431:155*100 =

(431*100):155 =

43100:155 = 278.06

Now we have: 431 is what percent of 155 = 278.06

Question: 431 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\%}={431}.

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

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

{x\%}={431}(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}{431}

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

\frac{x\%}{100\%}=\frac{431}{155}

\Rightarrow{x} = {278.06\%}

Therefore, {431} is {278.06\%} of {155}.

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