120.3 is what percent of 204.3 - 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 204.3 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 204.3, so we can write it down as 100%=204.3.
4. We know, that x% equals 120.3 of the output value, so we can write it down as x%=120.3.
5. Now we have two simple equations:
1) 100%=204.3
2) x%=120.3
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%=204.3/120.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.3 is what percent of 204.3

100%/x%=204.3/120.3
(100/x)*x=(204.3/120.3)*x       - we multiply both sides of the equation by x
100=1.69825436409*x       - we divide both sides of the equation by (1.69825436409) to get x
100/1.69825436409=x
58.8839941263=x
x=58.8839941263

now we have:
120.3 is 58.8839941263% of 204.3