339.4 is what percent of 1500 - 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 1500 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 1500, so we can write it down as 100%=1500.
4. We know, that x% equals 339.4 of the output value, so we can write it down as x%=339.4.
5. Now we have two simple equations:
1) 100%=1500
2) x%=339.4
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%=1500/339.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 339.4 is what percent of 1500

100%/x%=1500/339.4
(100/x)*x=(1500/339.4)*x       - we multiply both sides of the equation by x
100=4.4195639363583*x       - we divide both sides of the equation by (4.4195639363583) to get x
100/4.4195639363583=x
22.626666666667=x
x=22.626666666667

now we have:
339.4 is 22.626666666667% of 1500