35.71 is what percent of 1000.2 - step by step solution

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

1. We assume, that the number 1000.2 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 1000.2, so we can write it down as 100%=1000.2.
4. We know, that x% equals 35.71 of the output value, so we can write it down as x%=35.71.
5. Now we have two simple equations:
1) 100%=1000.2
2) x%=35.71
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%=1000.2/35.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.71 is what percent of 1000.2

100%/x%=1000.2/35.71
(100/x)*x=(1000.2/35.71)*x       - we multiply both sides of the equation by x
100=28.008961075329*x       - we divide both sides of the equation by (28.008961075329) to get x
100/28.008961075329=x
3.5702859428114=x
x=3.5702859428114

now we have:
35.71 is 3.5702859428114% of 1000.2