843.39 is what percent of 1444.24 - 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 1444.24 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 1444.24, so we can write it down as 100%=1444.24.
4. We know, that x% equals 843.39 of the output value, so we can write it down as x%=843.39.
5. Now we have two simple equations:
1) 100%=1444.24
2) x%=843.39
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%=1444.24/843.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 843.39 is what percent of 1444.24

100%/x%=1444.24/843.39
(100/x)*x=(1444.24/843.39)*x       - we multiply both sides of the equation by x
100=1.7124224854456*x       - we divide both sides of the equation by (1.7124224854456) to get x
100/1.7124224854456=x
58.396803855315=x
x=58.396803855315

now we have:
843.39 is 58.396803855315% of 1444.24