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150.00 is what percent of 180.00?

Solution for 150.00 is what percent of 180.00:

150.00:180.00*100 =

(150.00*100):180.00 =

15000:180.00 = 83.333333333333

Now we have: 150.00 is what percent of 180.00 = 83.333333333333

Question: 150.00 is what percent of 180.00?

Percentage solution with steps:

Step 1: We make the assumption that 180.00 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\%}={180.00}.

Step 4: In the same vein, {x\%}={150.00}.

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

{100\%}={180.00}(1).

{x\%}={150.00}(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{180.00}{150.00}

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

\frac{x\%}{100\%}=\frac{150.00}{180.00}

\Rightarrow{x} = {83.333333333333\%}

Therefore, {150.00} is {83.333333333333\%} of {180.00}.

Solution for 180.00 is what percent of 150.00:

180.00:150.00*100 =

(180.00*100):150.00 =

18000:150.00 = 120

Now we have: 180.00 is what percent of 150.00 = 120

Question: 180.00 is what percent of 150.00?

Percentage solution with steps:

Step 1: We make the assumption that 150.00 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\%}={150.00}.

Step 4: In the same vein, {x\%}={180.00}.

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

{100\%}={150.00}(1).

{x\%}={180.00}(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{150.00}{180.00}

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

\frac{x\%}{100\%}=\frac{180.00}{150.00}

\Rightarrow{x} = {120\%}

Therefore, {180.00} is {120\%} of {150.00}.