4 is what percent of 5230 - 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 5230 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 5230, so we can write it down as 100%=5230.
4. We know, that x% equals 4 of the output value, so we can write it down as x%=4.
5. Now we have two simple equations:
1) 100%=5230
2) x%=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%=5230/4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4 is what percent of 5230

100%/x%=5230/4
(100/x)*x=(5230/4)*x       - we multiply both sides of the equation by x
100=1307.5*x       - we divide both sides of the equation by (1307.5) to get x
100/1307.5=x
0.0764818355641=x
x=0.0764818355641

now we have:
4 is 0.0764818355641% of 5230