9.8 is what percent of 211.05 - 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 211.05 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 211.05, so we can write it down as 100%=211.05.
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%=211.05
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%=211.05/9.8
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 211.05

100%/x%=211.05/9.8
(100/x)*x=(211.05/9.8)*x       - we multiply both sides of the equation by x
100=21.535714285714*x       - we divide both sides of the equation by (21.535714285714) to get x
100/21.535714285714=x
4.6434494195688=x
x=4.6434494195688

now we have:
9.8 is 4.6434494195688% of 211.05