942.6 is what percent of 1.002 - 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 1.002 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 1.002, so we can write it down as 100%=1.002.
4. We know, that x% equals 942.6 of the output value, so we can write it down as x%=942.6.
5. Now we have two simple equations:
1) 100%=1.002
2) x%=942.6
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%=1.002/942.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 942.6 is what percent of 1.002

100%/x%=1.002/942.6
(100/x)*x=(1.002/942.6)*x       - we multiply both sides of the equation by x
100=0.0010630171865054*x       - we divide both sides of the equation by (0.0010630171865054) to get x
100/0.0010630171865054=x
94071.856287425=x
x=94071.856287425

now we have:
942.6 is 94071.856287425% of 1.002