#### Solution for 400 is what percent of 870:

400:870*100 =

(400*100):870 =

40000:870 = 45.98

Now we have: 400 is what percent of 870 = 45.98

Question: 400 is what percent of 870?

Percentage solution with steps:

Step 1: We make the assumption that 870 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\%}={870}.

Step 4: In the same vein, {x\%}={400}.

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

{100\%}={870}(1).

{x\%}={400}(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{870}{400}

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

\frac{x\%}{100\%}=\frac{400}{870}

\Rightarrow{x} = {45.98\%}

Therefore, {400} is {45.98\%} of {870}.

#### Solution for 870 is what percent of 400:

870:400*100 =

(870*100):400 =

87000:400 = 217.5

Now we have: 870 is what percent of 400 = 217.5

Question: 870 is what percent of 400?

Percentage solution with steps:

Step 1: We make the assumption that 400 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\%}={400}.

Step 4: In the same vein, {x\%}={870}.

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

{100\%}={400}(1).

{x\%}={870}(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{400}{870}

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

\frac{x\%}{100\%}=\frac{870}{400}

\Rightarrow{x} = {217.5\%}

Therefore, {870} is {217.5\%} of {400}.

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