703.75 is what percent of 1779.25 - 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 1779.25 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 1779.25, so we can write it down as 100%=1779.25.
4. We know, that x% equals 703.75 of the output value, so we can write it down as x%=703.75.
5. Now we have two simple equations:
1) 100%=1779.25
2) x%=703.75
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%=1779.25/703.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 703.75 is what percent of 1779.25

100%/x%=1779.25/703.75
(100/x)*x=(1779.25/703.75)*x       - we multiply both sides of the equation by x
100=2.5282415630551*x       - we divide both sides of the equation by (2.5282415630551) to get x
100/2.5282415630551=x
39.553182520725=x
x=39.553182520725

now we have:
703.75 is 39.553182520725% of 1779.25