899.9 is what percent of 1160 - 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 1160 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 1160, so we can write it down as 100%=1160.
4. We know, that x% equals 899.9 of the output value, so we can write it down as x%=899.9.
5. Now we have two simple equations:
1) 100%=1160
2) x%=899.9
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%=1160/899.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 899.9 is what percent of 1160

100%/x%=1160/899.9
(100/x)*x=(1160/899.9)*x       - we multiply both sides of the equation by x
100=1.2890321146794*x       - we divide both sides of the equation by (1.2890321146794) to get x
100/1.2890321146794=x
77.577586206897=x
x=77.577586206897

now we have:
899.9 is 77.577586206897% of 1160