9.87 is what percent of 999 - 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 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, so we can write it down as 100%=999.
4. We know, that x% equals 9.87 of the output value, so we can write it down as x%=9.87.
5. Now we have two simple equations:
1) 100%=999
2) x%=9.87
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%=999/9.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.87 is what percent of 999

100%/x%=999/9.87
(100/x)*x=(999/9.87)*x       - we multiply both sides of the equation by x
100=101.21580547112*x       - we divide both sides of the equation by (101.21580547112) to get x
100/101.21580547112=x
0.98798798798799=x
x=0.98798798798799

now we have:
9.87 is 0.98798798798799% of 999