#### Solution for 37 is what percent of 42.5:

37:42.5*100 =

(37*100):42.5 =

3700:42.5 = 87.058823529412

Now we have: 37 is what percent of 42.5 = 87.058823529412

Question: 37 is what percent of 42.5?

Percentage solution with steps:

Step 1: We make the assumption that 42.5 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\%}={42.5}.

Step 4: In the same vein, {x\%}={37}.

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

{100\%}={42.5}(1).

{x\%}={37}(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}{37}

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

\frac{x\%}{100\%}=\frac{37}{42.5}

\Rightarrow{x} = {87.058823529412\%}

Therefore, {37} is {87.058823529412\%} of {42.5}.

#### Solution for 42.5 is what percent of 37:

42.5:37*100 =

(42.5*100):37 =

4250:37 = 114.86486486486

Now we have: 42.5 is what percent of 37 = 114.86486486486

Question: 42.5 is what percent of 37?

Percentage solution with steps:

Step 1: We make the assumption that 37 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\%}={37}.

Step 4: In the same vein, {x\%}={42.5}.

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

{100\%}={37}(1).

{x\%}={42.5}(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{37}{42.5}

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

\frac{x\%}{100\%}=\frac{42.5}{37}

\Rightarrow{x} = {114.86486486486\%}

Therefore, {42.5} is {114.86486486486\%} of {37}.

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