#### Solution for 10000 is what percent of 10300:

10000:10300*100 =

(10000*100):10300 =

1000000:10300 = 97.09

Now we have: 10000 is what percent of 10300 = 97.09

Question: 10000 is what percent of 10300?

Percentage solution with steps:

Step 1: We make the assumption that 10300 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\%}={10300}.

Step 4: In the same vein, {x\%}={10000}.

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

{100\%}={10300}(1).

{x\%}={10000}(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{10300}{10000}

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

\frac{x\%}{100\%}=\frac{10000}{10300}

\Rightarrow{x} = {97.09\%}

Therefore, {10000} is {97.09\%} of {10300}.

#### Solution for 10300 is what percent of 10000:

10300:10000*100 =

(10300*100):10000 =

1030000:10000 = 103

Now we have: 10300 is what percent of 10000 = 103

Question: 10300 is what percent of 10000?

Percentage solution with steps:

Step 1: We make the assumption that 10000 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\%}={10000}.

Step 4: In the same vein, {x\%}={10300}.

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

{100\%}={10000}(1).

{x\%}={10300}(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{10000}{10300}

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

\frac{x\%}{100\%}=\frac{10300}{10000}

\Rightarrow{x} = {103\%}

Therefore, {10300} is {103\%} of {10000}.

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