11.98 is what percent of 120.35 - 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 120.35 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 120.35, so we can write it down as 100%=120.35.
4. We know, that x% equals 11.98 of the output value, so we can write it down as x%=11.98.
5. Now we have two simple equations:
1) 100%=120.35
2) x%=11.98
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%=120.35/11.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.98 is what percent of 120.35

100%/x%=120.35/11.98
(100/x)*x=(120.35/11.98)*x       - we multiply both sides of the equation by x
100=10.04590984975*x       - we divide both sides of the equation by (10.04590984975) to get x
100/10.04590984975=x
9.9542999584545=x
x=9.9542999584545

now we have:
11.98 is 9.9542999584545% of 120.35