Percentage Calculator: 29.5 is what percent of 42? = 70.238095238095

Solution for 29.5 is what percent of 42:

29.5:42*100 =

(29.5*100):42 =

2950:42 = 70.238095238095

Now we have: 29.5 is what percent of 42 = 70.238095238095

Question: 29.5 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\%}={29.5}.

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

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

{x\%}={29.5}(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}{29.5}

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

\frac{x\%}{100\%}=\frac{29.5}{42}

\Rightarrow{x} = {70.238095238095\%}

Therefore, {29.5} is {70.238095238095\%} of {42}.

What Percent Of Table For 29.5

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Solution for 42 is what percent of 29.5:

42:29.5*100 =

(42*100):29.5 =

4200:29.5 = 142.37288135593

Now we have: 42 is what percent of 29.5 = 142.37288135593

Question: 42 is what percent of 29.5?

Percentage solution with steps:

Step 1: We make the assumption that 29.5 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\%}={29.5}.

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

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

{100\%}={29.5}(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{29.5}{42}

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

\frac{x\%}{100\%}=\frac{42}{29.5}

\Rightarrow{x} = {142.37288135593\%}

Therefore, {42} is {142.37288135593\%} of {29.5}.

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