744.14 is what percent of 849.29 - 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 849.29 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 849.29, so we can write it down as 100%=849.29.
4. We know, that x% equals 744.14 of the output value, so we can write it down as x%=744.14.
5. Now we have two simple equations:
1) 100%=849.29
2) x%=744.14
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%=849.29/744.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 744.14 is what percent of 849.29

100%/x%=849.29/744.14
(100/x)*x=(849.29/744.14)*x       - we multiply both sides of the equation by x
100=1.1413040556884*x       - we divide both sides of the equation by (1.1413040556884) to get x
100/1.1413040556884=x
87.619070046745=x
x=87.619070046745

now we have:
744.14 is 87.619070046745% of 849.29