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Solution for 155 is what percent of 83:

155:83*100 =

(155*100):83 =

15500:83 = 186.75

Now we have: 155 is what percent of 83 = 186.75

Question: 155 is what percent of 83?

Percentage solution with steps:

Step 1: We make the assumption that 83 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\%}={83}.

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

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

{100\%}={83}(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{83}{155}

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

\frac{x\%}{100\%}=\frac{155}{83}

\Rightarrow{x} = {186.75\%}

Therefore, {155} is {186.75\%} of {83}.

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Solution for 83 is what percent of 155:

83:155*100 =

(83*100):155 =

8300:155 = 53.55

Now we have: 83 is what percent of 155 = 53.55

Question: 83 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\%}={83}.

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

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

{x\%}={83}(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}{83}

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

\frac{x\%}{100\%}=\frac{83}{155}

\Rightarrow{x} = {53.55\%}

Therefore, {83} is {53.55\%} of {155}.