906.3 is what percent of 1007.1 - 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 1007.1 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 1007.1, so we can write it down as 100%=1007.1.
4. We know, that x% equals 906.3 of the output value, so we can write it down as x%=906.3.
5. Now we have two simple equations:
1) 100%=1007.1
2) x%=906.3
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%=1007.1/906.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 906.3 is what percent of 1007.1

100%/x%=1007.1/906.3
(100/x)*x=(1007.1/906.3)*x       - we multiply both sides of the equation by x
100=1.111221449851*x       - we divide both sides of the equation by (1.111221449851) to get x
100/1.111221449851=x
89.991063449508=x
x=89.991063449508

now we have:
906.3 is 89.991063449508% of 1007.1