879.87 is what percent of 999.4 - 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 999.4 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 999.4, so we can write it down as 100%=999.4.
4. We know, that x% equals 879.87 of the output value, so we can write it down as x%=879.87.
5. Now we have two simple equations:
1) 100%=999.4
2) x%=879.87
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%=999.4/879.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 879.87 is what percent of 999.4

100%/x%=999.4/879.87
(100/x)*x=(999.4/879.87)*x       - we multiply both sides of the equation by x
100=1.1358496141475*x       - we divide both sides of the equation by (1.1358496141475) to get x
100/1.1358496141475=x
88.039823894337=x
x=88.039823894337

now we have:
879.87 is 88.039823894337% of 999.4