344.92 is what percent of 589.84 - 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 589.84 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 589.84, so we can write it down as 100%=589.84.
4. We know, that x% equals 344.92 of the output value, so we can write it down as x%=344.92.
5. Now we have two simple equations:
1) 100%=589.84
2) x%=344.92
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%=589.84/344.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 344.92 is what percent of 589.84

100%/x%=589.84/344.92
(100/x)*x=(589.84/344.92)*x       - we multiply both sides of the equation by x
100=1.7100776991766*x       - we divide both sides of the equation by (1.7100776991766) to get x
100/1.7100776991766=x
58.476875084769=x
x=58.476875084769

now we have:
344.92 is 58.476875084769% of 589.84