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Solution for 150.00 is what percent of 42:

150.00:42*100 =

(150.00*100):42 =

15000:42 = 357.14285714286

Now we have: 150.00 is what percent of 42 = 357.14285714286

Question: 150.00 is what percent of 42?

Percentage solution with steps:

Step 1: We make the assumption that 42 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\%}={42}.

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

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

{100\%}={42}(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{42}{150.00}

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

\frac{x\%}{100\%}=\frac{150.00}{42}

\Rightarrow{x} = {357.14285714286\%}

Therefore, {150.00} is {357.14285714286\%} of {42}.

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Solution for 42 is what percent of 150.00:

42:150.00*100 =

(42*100):150.00 =

4200:150.00 = 28

Now we have: 42 is what percent of 150.00 = 28

Question: 42 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\%}={42}.

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

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

{x\%}={42}(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}{42}

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

\frac{x\%}{100\%}=\frac{42}{150.00}

\Rightarrow{x} = {28\%}

Therefore, {42} is {28\%} of {150.00}.