#### Solution for 310 is what percent of 5000:

310:5000*100 =

(310*100):5000 =

31000:5000 = 6.2

Now we have: 310 is what percent of 5000 = 6.2

Question: 310 is what percent of 5000?

Percentage solution with steps:

Step 1: We make the assumption that 5000 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\%}={5000}.

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

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

{100\%}={5000}(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{5000}{310}

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

\frac{x\%}{100\%}=\frac{310}{5000}

\Rightarrow{x} = {6.2\%}

Therefore, {310} is {6.2\%} of {5000}.

#### Solution for 5000 is what percent of 310:

5000:310*100 =

(5000*100):310 =

500000:310 = 1612.9

Now we have: 5000 is what percent of 310 = 1612.9

Question: 5000 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\%}={5000}.

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

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

{x\%}={5000}(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}{5000}

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

\frac{x\%}{100\%}=\frac{5000}{310}

\Rightarrow{x} = {1612.9\%}

Therefore, {5000} is {1612.9\%} of {310}.

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