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Solution for 670 is what percent of 42:

670:42*100 =

(670*100):42 =

67000:42 = 1595.24

Now we have: 670 is what percent of 42 = 1595.24

Question: 670 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\%}={670}.

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

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

{x\%}={670}(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}{670}

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

\frac{x\%}{100\%}=\frac{670}{42}

\Rightarrow{x} = {1595.24\%}

Therefore, {670} is {1595.24\%} of {42}.

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Solution for 42 is what percent of 670:

42:670*100 =

(42*100):670 =

4200:670 = 6.27

Now we have: 42 is what percent of 670 = 6.27

Question: 42 is what percent of 670?

Percentage solution with steps:

Step 1: We make the assumption that 670 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\%}={670}.

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

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

{100\%}={670}(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{670}{42}

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

\frac{x\%}{100\%}=\frac{42}{670}

\Rightarrow{x} = {6.27\%}

Therefore, {42} is {6.27\%} of {670}.