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Solution for 31 is what percent of 310:

31:310*100 =

(31*100):310 =

3100:310 = 10

Now we have: 31 is what percent of 310 = 10

Question: 31 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\%}={31}.

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

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

{x\%}={31}(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}{31}

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

\frac{x\%}{100\%}=\frac{31}{310}

\Rightarrow{x} = {10\%}

Therefore, {31} is {10\%} of {310}.

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Solution for 310 is what percent of 31:

310:31*100 =

(310*100):31 =

31000:31 = 1000

Now we have: 310 is what percent of 31 = 1000

Question: 310 is what percent of 31?

Percentage solution with steps:

Step 1: We make the assumption that 31 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\%}={31}.

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

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

{100\%}={31}(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{31}{310}

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

\frac{x\%}{100\%}=\frac{310}{31}

\Rightarrow{x} = {1000\%}

Therefore, {310} is {1000\%} of {31}.