239.75 is what percent of 369.89 - 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 369.89 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 369.89, so we can write it down as 100%=369.89.
4. We know, that x% equals 239.75 of the output value, so we can write it down as x%=239.75.
5. Now we have two simple equations:
1) 100%=369.89
2) x%=239.75
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%=369.89/239.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 239.75 is what percent of 369.89

100%/x%=369.89/239.75
(100/x)*x=(369.89/239.75)*x       - we multiply both sides of the equation by x
100=1.5428154327424*x       - we divide both sides of the equation by (1.5428154327424) to get x
100/1.5428154327424=x
64.816567087513=x
x=64.816567087513

now we have:
239.75 is 64.816567087513% of 369.89