#### Solution for 30 is what percent of 155:

30:155*100 =

(30*100):155 =

3000:155 = 19.35

Now we have: 30 is what percent of 155 = 19.35

Question: 30 is what percent of 155?

Percentage solution with steps:

Step 1: We make the assumption that 155 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\%}={155}.

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

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

{100\%}={155}(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{155}{30}

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

\frac{x\%}{100\%}=\frac{30}{155}

\Rightarrow{x} = {19.35\%}

Therefore, {30} is {19.35\%} of {155}.

#### Solution for 155 is what percent of 30:

155:30*100 =

(155*100):30 =

15500:30 = 516.67

Now we have: 155 is what percent of 30 = 516.67

Question: 155 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\%}={155}.

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

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

{x\%}={155}(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}{155}

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

\frac{x\%}{100\%}=\frac{155}{30}

\Rightarrow{x} = {516.67\%}

Therefore, {155} is {516.67\%} of {30}.

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