0.08 is what percent of 16157 - step by step solution

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 16157 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 16157, so we can write it down as 100%=16157.
4. We know, that x% equals 0.08 of the output value, so we can write it down as x%=0.08.
5. Now we have two simple equations:
1) 100%=16157
2) x%=0.08
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=16157/0.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.08 is what percent of 16157

100%/x%=16157/0.08
(100/x)*x=(16157/0.08)*x       - we multiply both sides of the equation by x
100=201962.5*x       - we divide both sides of the equation by (201962.5) to get x
100/201962.5=x
0.00049514142476945=x
x=0.00049514142476945

now we have:
0.08 is 0.00049514142476945% of 16157

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