121.2 is what percent of 40.2 - 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 40.2 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 40.2, so we can write it down as 100%=40.2.
4. We know, that x% equals 121.2 of the output value, so we can write it down as x%=121.2.
5. Now we have two simple equations:
1) 100%=40.2
2) x%=121.2
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%=40.2/121.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 121.2 is what percent of 40.2

100%/x%=40.2/121.2
(100/x)*x=(40.2/121.2)*x       - we multiply both sides of the equation by x
100=0.33168316831683*x       - we divide both sides of the equation by (0.33168316831683) to get x
100/0.33168316831683=x
301.49253731343=x
x=301.49253731343

now we have:
121.2 is 301.49253731343% of 40.2