#### Solution for 185 is what percent of 310:

185:310*100 =

(185*100):310 =

18500:310 = 59.68

Now we have: 185 is what percent of 310 = 59.68

Question: 185 is what percent of 310?

Percentage solution with steps:

Step 1: We make the assumption that 310 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\%}={310}.

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

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

{100\%}={310}(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{310}{185}

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

\frac{x\%}{100\%}=\frac{185}{310}

\Rightarrow{x} = {59.68\%}

Therefore, {185} is {59.68\%} of {310}.

#### Solution for 310 is what percent of 185:

310:185*100 =

(310*100):185 =

31000:185 = 167.57

Now we have: 310 is what percent of 185 = 167.57

Question: 310 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\%}={310}.

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

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

{x\%}={310}(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}{310}

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

\frac{x\%}{100\%}=\frac{310}{185}

\Rightarrow{x} = {167.57\%}

Therefore, {310} is {167.57\%} of {185}.

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