146.84 is what percent of 5720 - 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 5720 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 5720, so we can write it down as 100%=5720.
4. We know, that x% equals 146.84 of the output value, so we can write it down as x%=146.84.
5. Now we have two simple equations:
1) 100%=5720
2) x%=146.84
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%=5720/146.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 146.84 is what percent of 5720

100%/x%=5720/146.84
(100/x)*x=(5720/146.84)*x       - we multiply both sides of the equation by x
100=38.953963497685*x       - we divide both sides of the equation by (38.953963497685) to get x
100/38.953963497685=x
2.5671328671329=x
x=2.5671328671329

now we have:
146.84 is 2.5671328671329% of 5720