1078.32 is what percent of 898.6 - 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 898.6 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 898.6, so we can write it down as 100%=898.6.
4. We know, that x% equals 1078.32 of the output value, so we can write it down as x%=1078.32.
5. Now we have two simple equations:
1) 100%=898.6
2) x%=1078.32
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%=898.6/1078.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1078.32 is what percent of 898.6

100%/x%=898.6/1078.32
(100/x)*x=(898.6/1078.32)*x       - we multiply both sides of the equation by x
100=0.83333333333333*x       - we divide both sides of the equation by (0.83333333333333) to get x
100/0.83333333333333=x
120=x
x=120

now we have:
1078.32 is 120% of 898.6