241.3 is what percent of 390.1 - 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 390.1 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 390.1, so we can write it down as 100%=390.1.
4. We know, that x% equals 241.3 of the output value, so we can write it down as x%=241.3.
5. Now we have two simple equations:
1) 100%=390.1
2) x%=241.3
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%=390.1/241.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 241.3 is what percent of 390.1

100%/x%=390.1/241.3
(100/x)*x=(390.1/241.3)*x       - we multiply both sides of the equation by x
100=1.6166597596353*x       - we divide both sides of the equation by (1.6166597596353) to get x
100/1.6166597596353=x
61.855934375801=x
x=61.855934375801

now we have:
241.3 is 61.855934375801% of 390.1