393.53 is what percent of 852.26 - 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 852.26 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 852.26, so we can write it down as 100%=852.26.
4. We know, that x% equals 393.53 of the output value, so we can write it down as x%=393.53.
5. Now we have two simple equations:
1) 100%=852.26
2) x%=393.53
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%=852.26/393.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 393.53 is what percent of 852.26

100%/x%=852.26/393.53
(100/x)*x=(852.26/393.53)*x       - we multiply both sides of the equation by x
100=2.1656798719284*x       - we divide both sides of the equation by (2.1656798719284) to get x
100/2.1656798719284=x
46.174876211485=x
x=46.174876211485

now we have:
393.53 is 46.174876211485% of 852.26