#### Solution for 4.70 is what percent of 8.90:

4.70:8.90*100 =

(4.70*100):8.90 =

470:8.90 = 52.808988764045

Now we have: 4.70 is what percent of 8.90 = 52.808988764045

Question: 4.70 is what percent of 8.90?

Percentage solution with steps:

Step 1: We make the assumption that 8.90 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\%}={8.90}.

Step 4: In the same vein, {x\%}={4.70}.

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

{100\%}={8.90}(1).

{x\%}={4.70}(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{8.90}{4.70}

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

\frac{x\%}{100\%}=\frac{4.70}{8.90}

\Rightarrow{x} = {52.808988764045\%}

Therefore, {4.70} is {52.808988764045\%} of {8.90}.

#### Solution for 8.90 is what percent of 4.70:

8.90:4.70*100 =

(8.90*100):4.70 =

890:4.70 = 189.36170212766

Now we have: 8.90 is what percent of 4.70 = 189.36170212766

Question: 8.90 is what percent of 4.70?

Percentage solution with steps:

Step 1: We make the assumption that 4.70 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\%}={4.70}.

Step 4: In the same vein, {x\%}={8.90}.

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

{100\%}={4.70}(1).

{x\%}={8.90}(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{4.70}{8.90}

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

\frac{x\%}{100\%}=\frac{8.90}{4.70}

\Rightarrow{x} = {189.36170212766\%}

Therefore, {8.90} is {189.36170212766\%} of {4.70}.

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