10.17 is what percent of 156.1 - 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 156.1 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 156.1, so we can write it down as 100%=156.1.
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%=156.1
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%=156.1/10.17
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 156.1

100%/x%=156.1/10.17
(100/x)*x=(156.1/10.17)*x       - we multiply both sides of the equation by x
100=15.349065880039*x       - we divide both sides of the equation by (15.349065880039) to get x
100/15.349065880039=x
6.5150544522742=x
x=6.5150544522742

now we have:
10.17 is 6.5150544522742% of 156.1