#### Solution for 49 is what percent of 370:

49:370*100 =

(49*100):370 =

4900:370 = 13.24

Now we have: 49 is what percent of 370 = 13.24

Question: 49 is what percent of 370?

Percentage solution with steps:

Step 1: We make the assumption that 370 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\%}={370}.

Step 4: In the same vein, {x\%}={49}.

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

{100\%}={370}(1).

{x\%}={49}(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{370}{49}

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

\frac{x\%}{100\%}=\frac{49}{370}

\Rightarrow{x} = {13.24\%}

Therefore, {49} is {13.24\%} of {370}.

#### Solution for 370 is what percent of 49:

370:49*100 =

(370*100):49 =

37000:49 = 755.1

Now we have: 370 is what percent of 49 = 755.1

Question: 370 is what percent of 49?

Percentage solution with steps:

Step 1: We make the assumption that 49 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\%}={49}.

Step 4: In the same vein, {x\%}={370}.

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

{100\%}={49}(1).

{x\%}={370}(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{49}{370}

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

\frac{x\%}{100\%}=\frac{370}{49}

\Rightarrow{x} = {755.1\%}

Therefore, {370} is {755.1\%} of {49}.

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