#### Solution for 10 is what percent of 203:

10:203*100 =

(10*100):203 =

1000:203 = 4.93

Now we have: 10 is what percent of 203 = 4.93

Question: 10 is what percent of 203?

Percentage solution with steps:

Step 1: We make the assumption that 203 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\%}={203}.

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

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

{100\%}={203}(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{203}{10}

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

\frac{x\%}{100\%}=\frac{10}{203}

\Rightarrow{x} = {4.93\%}

Therefore, {10} is {4.93\%} of {203}.

#### Solution for 203 is what percent of 10:

203:10*100 =

(203*100):10 =

20300:10 = 2030

Now we have: 203 is what percent of 10 = 2030

Question: 203 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\%}={203}.

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

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

{x\%}={203}(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}{203}

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

\frac{x\%}{100\%}=\frac{203}{10}

\Rightarrow{x} = {2030\%}

Therefore, {203} is {2030\%} of {10}.

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