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Solution for 149 is what percent of 42:

149:42*100 =

(149*100):42 =

14900:42 = 354.76

Now we have: 149 is what percent of 42 = 354.76

Question: 149 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\%}={149}.

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

{100\%}={42}(1).

{x\%}={149}(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}{149}

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

\frac{x\%}{100\%}=\frac{149}{42}

\Rightarrow{x} = {354.76\%}

Therefore, {149} is {354.76\%} of {42}.

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Solution for 42 is what percent of 149:

42:149*100 =

(42*100):149 =

4200:149 = 28.19

Now we have: 42 is what percent of 149 = 28.19

Question: 42 is what percent of 149?

Percentage solution with steps:

Step 1: We make the assumption that 149 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\%}={149}.

Step 4: In the same vein, {x\%}={42}.

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

{100\%}={149}(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{149}{42}

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

\frac{x\%}{100\%}=\frac{42}{149}

\Rightarrow{x} = {28.19\%}

Therefore, {42} is {28.19\%} of {149}.