783.5 is what percent of 825 - 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 825 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 825, so we can write it down as 100%=825.
4. We know, that x% equals 783.5 of the output value, so we can write it down as x%=783.5.
5. Now we have two simple equations:
1) 100%=825
2) x%=783.5
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%=825/783.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 783.5 is what percent of 825

100%/x%=825/783.5
(100/x)*x=(825/783.5)*x       - we multiply both sides of the equation by x
100=1.0529674537332*x       - we divide both sides of the equation by (1.0529674537332) to get x
100/1.0529674537332=x
94.969696969697=x
x=94.969696969697

now we have:
783.5 is 94.969696969697% of 825