1384.83 is what percent of 5820 - 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 5820 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 5820, so we can write it down as 100%=5820.
4. We know, that x% equals 1384.83 of the output value, so we can write it down as x%=1384.83.
5. Now we have two simple equations:
1) 100%=5820
2) x%=1384.83
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%=5820/1384.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1384.83 is what percent of 5820

100%/x%=5820/1384.83
(100/x)*x=(5820/1384.83)*x       - we multiply both sides of the equation by x
100=4.2026819176361*x       - we divide both sides of the equation by (4.2026819176361) to get x
100/4.2026819176361=x
23.794329896907=x
x=23.794329896907

now we have:
1384.83 is 23.794329896907% of 5820