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Solution for 115 is what percent of 415:

115:415*100 =

(115*100):415 =

11500:415 = 27.71

Now we have: 115 is what percent of 415 = 27.71

Question: 115 is what percent of 415?

Percentage solution with steps:

Step 1: We make the assumption that 415 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\%}={415}.

Step 4: In the same vein, {x\%}={115}.

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

{100\%}={415}(1).

{x\%}={115}(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{415}{115}

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

\frac{x\%}{100\%}=\frac{115}{415}

\Rightarrow{x} = {27.71\%}

Therefore, {115} is {27.71\%} of {415}.

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Solution for 415 is what percent of 115:

415:115*100 =

(415*100):115 =

41500:115 = 360.87

Now we have: 415 is what percent of 115 = 360.87

Question: 415 is what percent of 115?

Percentage solution with steps:

Step 1: We make the assumption that 115 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\%}={115}.

Step 4: In the same vein, {x\%}={415}.

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

{100\%}={115}(1).

{x\%}={415}(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{115}{415}

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

\frac{x\%}{100\%}=\frac{415}{115}

\Rightarrow{x} = {360.87\%}

Therefore, {415} is {360.87\%} of {115}.