678.47 is what percent of 735 - 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 735 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 735, so we can write it down as 100%=735.
4. We know, that x% equals 678.47 of the output value, so we can write it down as x%=678.47.
5. Now we have two simple equations:
1) 100%=735
2) x%=678.47
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%=735/678.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 678.47 is what percent of 735

100%/x%=735/678.47
(100/x)*x=(735/678.47)*x       - we multiply both sides of the equation by x
100=1.0833198225419*x       - we divide both sides of the equation by (1.0833198225419) to get x
100/1.0833198225419=x
92.308843537415=x
x=92.308843537415

now we have:
678.47 is 92.308843537415% of 735