4.24 is what percent of 2378.75 - 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 2378.75 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 2378.75, so we can write it down as 100%=2378.75.
4. We know, that x% equals 4.24 of the output value, so we can write it down as x%=4.24.
5. Now we have two simple equations:
1) 100%=2378.75
2) x%=4.24
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%=2378.75/4.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.24 is what percent of 2378.75

100%/x%=2378.75/4.24
(100/x)*x=(2378.75/4.24)*x       - we multiply both sides of the equation by x
100=561.02594339623*x       - we divide both sides of the equation by (561.02594339623) to get x
100/561.02594339623=x
0.17824487651077=x
x=0.17824487651077

now we have:
4.24 is 0.17824487651077% of 2378.75