10.2 is what percent of 110.47 - 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 110.47 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 110.47, so we can write it down as 100%=110.47.
4. We know, that x% equals 10.2 of the output value, so we can write it down as x%=10.2.
5. Now we have two simple equations:
1) 100%=110.47
2) x%=10.2
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%=110.47/10.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.2 is what percent of 110.47

100%/x%=110.47/10.2
(100/x)*x=(110.47/10.2)*x       - we multiply both sides of the equation by x
100=10.830392156863*x       - we divide both sides of the equation by (10.830392156863) to get x
100/10.830392156863=x
9.2332760025346=x
x=9.2332760025346

now we have:
10.2 is 9.2332760025346% of 110.47