42.93 is what percent of 120.61 - 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 120.61 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 120.61, so we can write it down as 100%=120.61.
4. We know, that x% equals 42.93 of the output value, so we can write it down as x%=42.93.
5. Now we have two simple equations:
1) 100%=120.61
2) x%=42.93
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%=120.61/42.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.93 is what percent of 120.61

100%/x%=120.61/42.93
(100/x)*x=(120.61/42.93)*x       - we multiply both sides of the equation by x
100=2.8094572559981*x       - we divide both sides of the equation by (2.8094572559981) to get x
100/2.8094572559981=x
35.594063510488=x
x=35.594063510488

now we have:
42.93 is 35.594063510488% of 120.61