783.35 is what percent of 1000.02 - 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 1000.02 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 1000.02, so we can write it down as 100%=1000.02.
4. We know, that x% equals 783.35 of the output value, so we can write it down as x%=783.35.
5. Now we have two simple equations:
1) 100%=1000.02
2) x%=783.35
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%=1000.02/783.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 783.35 is what percent of 1000.02

100%/x%=1000.02/783.35
(100/x)*x=(1000.02/783.35)*x       - we multiply both sides of the equation by x
100=1.2765941150188*x       - we divide both sides of the equation by (1.2765941150188) to get x
100/1.2765941150188=x
78.333433331333=x
x=78.333433331333

now we have:
783.35 is 78.333433331333% of 1000.02