10.17 is what percent of 156.5 - 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 156.5 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 156.5, so we can write it down as 100%=156.5.
4. We know, that x% equals 10.17 of the output value, so we can write it down as x%=10.17.
5. Now we have two simple equations:
1) 100%=156.5
2) x%=10.17
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%=156.5/10.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.17 is what percent of 156.5

100%/x%=156.5/10.17
(100/x)*x=(156.5/10.17)*x       - we multiply both sides of the equation by x
100=15.388397246804*x       - we divide both sides of the equation by (15.388397246804) to get x
100/15.388397246804=x
6.4984025559105=x
x=6.4984025559105

now we have:
10.17 is 6.4984025559105% of 156.5