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Solution for 30 is what percent of 31.98:

30:31.98*100 =

(30*100):31.98 =

3000:31.98 = 93.808630393996

Now we have: 30 is what percent of 31.98 = 93.808630393996

Question: 30 is what percent of 31.98?

Percentage solution with steps:

Step 1: We make the assumption that 31.98 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\%}={31.98}.

Step 4: In the same vein, {x\%}={30}.

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

{100\%}={31.98}(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{31.98}{30}

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

\frac{x\%}{100\%}=\frac{30}{31.98}

\Rightarrow{x} = {93.808630393996\%}

Therefore, {30} is {93.808630393996\%} of {31.98}.

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Solution for 31.98 is what percent of 30:

31.98:30*100 =

(31.98*100):30 =

3198:30 = 106.6

Now we have: 31.98 is what percent of 30 = 106.6

Question: 31.98 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\%}={31.98}.

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

{100\%}={30}(1).

{x\%}={31.98}(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}{31.98}

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

\frac{x\%}{100\%}=\frac{31.98}{30}

\Rightarrow{x} = {106.6\%}

Therefore, {31.98} is {106.6\%} of {30}.