#### Solution for 10 is what percent of 28.3:

10:28.3*100 =

(10*100):28.3 =

1000:28.3 = 35.335689045936

Now we have: 10 is what percent of 28.3 = 35.335689045936

Question: 10 is what percent of 28.3?

Percentage solution with steps:

Step 1: We make the assumption that 28.3 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\%}={28.3}.

Step 4: In the same vein, {x\%}={10}.

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

{100\%}={28.3}(1).

{x\%}={10}(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{28.3}{10}

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

\frac{x\%}{100\%}=\frac{10}{28.3}

\Rightarrow{x} = {35.335689045936\%}

Therefore, {10} is {35.335689045936\%} of {28.3}.

#### Solution for 28.3 is what percent of 10:

28.3:10*100 =

(28.3*100):10 =

2830:10 = 283

Now we have: 28.3 is what percent of 10 = 283

Question: 28.3 is what percent of 10?

Percentage solution with steps:

Step 1: We make the assumption that 10 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\%}={10}.

Step 4: In the same vein, {x\%}={28.3}.

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

{100\%}={10}(1).

{x\%}={28.3}(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{10}{28.3}

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

\frac{x\%}{100\%}=\frac{28.3}{10}

\Rightarrow{x} = {283\%}

Therefore, {28.3} is {283\%} of {10}.

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