443.18 is what percent of 848.25 - 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 848.25 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 848.25, so we can write it down as 100%=848.25.
4. We know, that x% equals 443.18 of the output value, so we can write it down as x%=443.18.
5. Now we have two simple equations:
1) 100%=848.25
2) x%=443.18
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%=848.25/443.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 443.18 is what percent of 848.25

100%/x%=848.25/443.18
(100/x)*x=(848.25/443.18)*x       - we multiply both sides of the equation by x
100=1.9140078523399*x       - we divide both sides of the equation by (1.9140078523399) to get x
100/1.9140078523399=x
52.2463896257=x
x=52.2463896257

now we have:
443.18 is 52.2463896257% of 848.25