9.8 is what percent of 6.7 - 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 6.7 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 6.7, so we can write it down as 100%=6.7.
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%=6.7
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%=6.7/9.8
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 6.7

100%/x%=6.7/9.8
(100/x)*x=(6.7/9.8)*x       - we multiply both sides of the equation by x
100=0.68367346938776*x       - we divide both sides of the equation by (0.68367346938776) to get x
100/0.68367346938776=x
146.26865671642=x
x=146.26865671642

now we have:
9.8 is 146.26865671642% of 6.7