99.84 is what percent of 1059.72 - 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 1059.72 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 1059.72, so we can write it down as 100%=1059.72.
4. We know, that x% equals 99.84 of the output value, so we can write it down as x%=99.84.
5. Now we have two simple equations:
1) 100%=1059.72
2) x%=99.84
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%=1059.72/99.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.84 is what percent of 1059.72

100%/x%=1059.72/99.84
(100/x)*x=(1059.72/99.84)*x       - we multiply both sides of the equation by x
100=10.614182692308*x       - we divide both sides of the equation by (10.614182692308) to get x
100/10.614182692308=x
9.4213565847582=x
x=9.4213565847582

now we have:
99.84 is 9.4213565847582% of 1059.72