#### Solution for 137 is what percent of 310:

137:310*100 =

(137*100):310 =

13700:310 = 44.19

Now we have: 137 is what percent of 310 = 44.19

Question: 137 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\%}={137}.

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

{100\%}={310}(1).

{x\%}={137}(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}{137}

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

\frac{x\%}{100\%}=\frac{137}{310}

\Rightarrow{x} = {44.19\%}

Therefore, {137} is {44.19\%} of {310}.

#### Solution for 310 is what percent of 137:

310:137*100 =

(310*100):137 =

31000:137 = 226.28

Now we have: 310 is what percent of 137 = 226.28

Question: 310 is what percent of 137?

Percentage solution with steps:

Step 1: We make the assumption that 137 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\%}={137}.

Step 4: In the same vein, {x\%}={310}.

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

{100\%}={137}(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{137}{310}

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

\frac{x\%}{100\%}=\frac{310}{137}

\Rightarrow{x} = {226.28\%}

Therefore, {310} is {226.28\%} of {137}.

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