852.1 is what percent of 4425.24 - 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 4425.24 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 4425.24, so we can write it down as 100%=4425.24.
4. We know, that x% equals 852.1 of the output value, so we can write it down as x%=852.1.
5. Now we have two simple equations:
1) 100%=4425.24
2) x%=852.1
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%=4425.24/852.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 852.1 is what percent of 4425.24

100%/x%=4425.24/852.1
(100/x)*x=(4425.24/852.1)*x       - we multiply both sides of the equation by x
100=5.1933341157141*x       - we divide both sides of the equation by (5.1933341157141) to get x
100/5.1933341157141=x
19.255452811599=x
x=19.255452811599

now we have:
852.1 is 19.255452811599% of 4425.24