Percentage Calculator: 87.5 is what percent of 42? = 208.33333333333

Solution for 87.5 is what percent of 42:

87.5:42*100 =

(87.5*100):42 =

8750:42 = 208.33333333333

Now we have: 87.5 is what percent of 42 = 208.33333333333

Question: 87.5 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\%}={87.5}.

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

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

{x\%}={87.5}(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}{87.5}

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

\frac{x\%}{100\%}=\frac{87.5}{42}

\Rightarrow{x} = {208.33333333333\%}

Therefore, {87.5} is {208.33333333333\%} of {42}.

What Percent Of Table For 87.5

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Solution for 42 is what percent of 87.5:

42:87.5*100 =

(42*100):87.5 =

4200:87.5 = 48

Now we have: 42 is what percent of 87.5 = 48

Question: 42 is what percent of 87.5?

Percentage solution with steps:

Step 1: We make the assumption that 87.5 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\%}={87.5}.

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

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

{100\%}={87.5}(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{87.5}{42}

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

\frac{x\%}{100\%}=\frac{42}{87.5}

\Rightarrow{x} = {48\%}

Therefore, {42} is {48\%} of {87.5}.

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