#### Solution for 185 is what percent of 315:

185:315*100 =

(185*100):315 =

18500:315 = 58.73

Now we have: 185 is what percent of 315 = 58.73

Question: 185 is what percent of 315?

Percentage solution with steps:

Step 1: We make the assumption that 315 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\%}={315}.

Step 4: In the same vein, {x\%}={185}.

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

{100\%}={315}(1).

{x\%}={185}(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{315}{185}

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

\frac{x\%}{100\%}=\frac{185}{315}

\Rightarrow{x} = {58.73\%}

Therefore, {185} is {58.73\%} of {315}.

#### Solution for 315 is what percent of 185:

315:185*100 =

(315*100):185 =

31500:185 = 170.27

Now we have: 315 is what percent of 185 = 170.27

Question: 315 is what percent of 185?

Percentage solution with steps:

Step 1: We make the assumption that 185 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\%}={185}.

Step 4: In the same vein, {x\%}={315}.

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

{100\%}={185}(1).

{x\%}={315}(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{185}{315}

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

\frac{x\%}{100\%}=\frac{315}{185}

\Rightarrow{x} = {170.27\%}

Therefore, {315} is {170.27\%} of {185}.

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