#### Solution for 150 is what percent of 2950:

150:2950*100 =

(150*100):2950 =

15000:2950 = 5.08

Now we have: 150 is what percent of 2950 = 5.08

Question: 150 is what percent of 2950?

Percentage solution with steps:

Step 1: We make the assumption that 2950 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\%}={2950}.

Step 4: In the same vein, {x\%}={150}.

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

{100\%}={2950}(1).

{x\%}={150}(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{2950}{150}

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

\frac{x\%}{100\%}=\frac{150}{2950}

\Rightarrow{x} = {5.08\%}

Therefore, {150} is {5.08\%} of {2950}.

#### Solution for 2950 is what percent of 150:

2950:150*100 =

(2950*100):150 =

295000:150 = 1966.67

Now we have: 2950 is what percent of 150 = 1966.67

Question: 2950 is what percent of 150?

Percentage solution with steps:

Step 1: We make the assumption that 150 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\%}={150}.

Step 4: In the same vein, {x\%}={2950}.

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

{100\%}={150}(1).

{x\%}={2950}(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{150}{2950}

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

\frac{x\%}{100\%}=\frac{2950}{150}

\Rightarrow{x} = {1966.67\%}

Therefore, {2950} is {1966.67\%} of {150}.

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