Solution for 30 is what percent of 10:

30:10*100 =

(30*100):10 =

3000:10 = 300

Now we have: 30 is what percent of 10 = 300

Question: 30 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\%}={30}.

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

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

{x\%}={30}(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}{30}

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

\frac{x\%}{100\%}=\frac{30}{10}

\Rightarrow{x} = {300\%}

Therefore, {30} is {300\%} of {10}.

Solution for 10 is what percent of 30:

10:30*100 =

(10*100):30 =

1000:30 = 33.33

Now we have: 10 is what percent of 30 = 33.33

Question: 10 is what percent of 30?

Percentage solution with steps:

Step 1: We make the assumption that 30 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\%}={30}.

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

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

{100\%}={30}(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{30}{10}

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

\frac{x\%}{100\%}=\frac{10}{30}

\Rightarrow{x} = {33.33\%}

Therefore, {10} is {33.33\%} of {30}.

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