1259.1 is what percent of 839.4 - 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 839.4 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 839.4, so we can write it down as 100%=839.4.
4. We know, that x% equals 1259.1 of the output value, so we can write it down as x%=1259.1.
5. Now we have two simple equations:
1) 100%=839.4
2) x%=1259.1
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%=839.4/1259.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1259.1 is what percent of 839.4

100%/x%=839.4/1259.1
(100/x)*x=(839.4/1259.1)*x       - we multiply both sides of the equation by x
100=0.66666666666667*x       - we divide both sides of the equation by (0.66666666666667) to get x
100/0.66666666666667=x
150=x
x=150

now we have:
1259.1 is 150% of 839.4