9.8 is what percent of 156.4 - 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 156.4 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 156.4, so we can write it down as 100%=156.4.
4. We know, that x% equals 9.8 of the output value, so we can write it down as x%=9.8.
5. Now we have two simple equations:
1) 100%=156.4
2) x%=9.8
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%=156.4/9.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.8 is what percent of 156.4

100%/x%=156.4/9.8
(100/x)*x=(156.4/9.8)*x       - we multiply both sides of the equation by x
100=15.959183673469*x       - we divide both sides of the equation by (15.959183673469) to get x
100/15.959183673469=x
6.2659846547315=x
x=6.2659846547315

now we have:
9.8 is 6.2659846547315% of 156.4