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Solution for 155 is what percent of 523:

155:523*100 =

(155*100):523 =

15500:523 = 29.64

Now we have: 155 is what percent of 523 = 29.64

Question: 155 is what percent of 523?

Percentage solution with steps:

Step 1: We make the assumption that 523 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\%}={523}.

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

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

{100\%}={523}(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{523}{155}

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

\frac{x\%}{100\%}=\frac{155}{523}

\Rightarrow{x} = {29.64\%}

Therefore, {155} is {29.64\%} of {523}.

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Solution for 523 is what percent of 155:

523:155*100 =

(523*100):155 =

52300:155 = 337.42

Now we have: 523 is what percent of 155 = 337.42

Question: 523 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\%}={523}.

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

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

{x\%}={523}(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}{523}

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

\frac{x\%}{100\%}=\frac{523}{155}

\Rightarrow{x} = {337.42\%}

Therefore, {523} is {337.42\%} of {155}.