759.58 is what percent of 1230.18 - 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 1230.18 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 1230.18, so we can write it down as 100%=1230.18.
4. We know, that x% equals 759.58 of the output value, so we can write it down as x%=759.58.
5. Now we have two simple equations:
1) 100%=1230.18
2) x%=759.58
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%=1230.18/759.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 759.58 is what percent of 1230.18

100%/x%=1230.18/759.58
(100/x)*x=(1230.18/759.58)*x       - we multiply both sides of the equation by x
100=1.6195529108191*x       - we divide both sides of the equation by (1.6195529108191) to get x
100/1.6195529108191=x
61.745435627307=x
x=61.745435627307

now we have:
759.58 is 61.745435627307% of 1230.18