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Solution for 56 is what percent of 37:

56:37*100 =

(56*100):37 =

5600:37 = 151.35

Now we have: 56 is what percent of 37 = 151.35

Question: 56 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\%}={56}.

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

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

{x\%}={56}(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}{56}

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

\frac{x\%}{100\%}=\frac{56}{37}

\Rightarrow{x} = {151.35\%}

Therefore, {56} is {151.35\%} of {37}.

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Solution for 37 is what percent of 56:

37:56*100 =

(37*100):56 =

3700:56 = 66.07

Now we have: 37 is what percent of 56 = 66.07

Question: 37 is what percent of 56?

Percentage solution with steps:

Step 1: We make the assumption that 56 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\%}={56}.

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

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

{100\%}={56}(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{56}{37}

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

\frac{x\%}{100\%}=\frac{37}{56}

\Rightarrow{x} = {66.07\%}

Therefore, {37} is {66.07\%} of {56}.