10 is what percent of 10.0002 - 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 10.0002 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 10.0002, so we can write it down as 100%=10.0002.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=10.0002
2) x%=10
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%=10.0002/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 10.0002

100%/x%=10.0002/10
(100/x)*x=(10.0002/10)*x       - we multiply both sides of the equation by x
100=1.00002*x       - we divide both sides of the equation by (1.00002) to get x
100/1.00002=x
99.998000039999=x
x=99.998000039999

now we have:
10 is 99.998000039999% of 10.0002