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Solution for 1537 is what percent of 42:

1537:42*100 =

(1537*100):42 =

153700:42 = 3659.52

Now we have: 1537 is what percent of 42 = 3659.52

Question: 1537 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\%}={1537}.

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

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

{x\%}={1537}(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}{1537}

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

\frac{x\%}{100\%}=\frac{1537}{42}

\Rightarrow{x} = {3659.52\%}

Therefore, {1537} is {3659.52\%} of {42}.

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• 1537 is what percent of 100 = 1537

Solution for 42 is what percent of 1537:

42:1537*100 =

(42*100):1537 =

4200:1537 = 2.73

Now we have: 42 is what percent of 1537 = 2.73

Question: 42 is what percent of 1537?

Percentage solution with steps:

Step 1: We make the assumption that 1537 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\%}={1537}.

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

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

{100\%}={1537}(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{1537}{42}

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

\frac{x\%}{100\%}=\frac{42}{1537}

\Rightarrow{x} = {2.73\%}

Therefore, {42} is {2.73\%} of {1537}.