Percentage Calculator: 5.500 is what percent of 42? = 13.095238095238

Solution for 5.500 is what percent of 42:

5.500:42*100 =

(5.500*100):42 =

550:42 = 13.095238095238

Now we have: 5.500 is what percent of 42 = 13.095238095238

Question: 5.500 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\%}={5.500}.

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

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

{x\%}={5.500}(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}{5.500}

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

\frac{x\%}{100\%}=\frac{5.500}{42}

\Rightarrow{x} = {13.095238095238\%}

Therefore, {5.500} is {13.095238095238\%} of {42}.

What Percent Of Table For 5.500

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Solution for 42 is what percent of 5.500:

42:5.500*100 =

(42*100):5.500 =

4200:5.500 = 763.63636363636

Now we have: 42 is what percent of 5.500 = 763.63636363636

Question: 42 is what percent of 5.500?

Percentage solution with steps:

Step 1: We make the assumption that 5.500 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\%}={5.500}.

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

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

{100\%}={5.500}(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{5.500}{42}

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

\frac{x\%}{100\%}=\frac{42}{5.500}

\Rightarrow{x} = {763.63636363636\%}

Therefore, {42} is {763.63636363636\%} of {5.500}.

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