120.45 is what percent of 1.93 - 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 1.93 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 1.93, so we can write it down as 100%=1.93.
4. We know, that x% equals 120.45 of the output value, so we can write it down as x%=120.45.
5. Now we have two simple equations:
1) 100%=1.93
2) x%=120.45
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%=1.93/120.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.45 is what percent of 1.93

100%/x%=1.93/120.45
(100/x)*x=(1.93/120.45)*x       - we multiply both sides of the equation by x
100=0.016023246160232*x       - we divide both sides of the equation by (0.016023246160232) to get x
100/0.016023246160232=x
6240.932642487=x
x=6240.932642487

now we have:
120.45 is 6240.932642487% of 1.93