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Solution for 670 is what percent of 46:

670:46*100 =

(670*100):46 =

67000:46 = 1456.52

Now we have: 670 is what percent of 46 = 1456.52

Question: 670 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={46}.

Step 4: In the same vein, {x\%}={670}.

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

{100\%}={46}(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{46}{670}

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

\frac{x\%}{100\%}=\frac{670}{46}

\Rightarrow{x} = {1456.52\%}

Therefore, {670} is {1456.52\%} of {46}.

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Solution for 46 is what percent of 670:

46:670*100 =

(46*100):670 =

4600:670 = 6.87

Now we have: 46 is what percent of 670 = 6.87

Question: 46 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\%}={46}.

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

{100\%}={670}(1).

{x\%}={46}(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}{46}

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

\frac{x\%}{100\%}=\frac{46}{670}

\Rightarrow{x} = {6.87\%}

Therefore, {46} is {6.87\%} of {670}.