543.4 is what percent of 9880 - 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 9880 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 9880, so we can write it down as 100%=9880.
4. We know, that x% equals 543.4 of the output value, so we can write it down as x%=543.4.
5. Now we have two simple equations:
1) 100%=9880
2) x%=543.4
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%=9880/543.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 543.4 is what percent of 9880

100%/x%=9880/543.4
(100/x)*x=(9880/543.4)*x       - we multiply both sides of the equation by x
100=18.181818181818*x       - we divide both sides of the equation by (18.181818181818) to get x
100/18.181818181818=x
5.5=x
x=5.5

now we have:
543.4 is 5.5% of 9880