836.78 is what percent of 7810 - 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 7810 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 7810, so we can write it down as 100%=7810.
4. We know, that x% equals 836.78 of the output value, so we can write it down as x%=836.78.
5. Now we have two simple equations:
1) 100%=7810
2) x%=836.78
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%=7810/836.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 836.78 is what percent of 7810

100%/x%=7810/836.78
(100/x)*x=(7810/836.78)*x       - we multiply both sides of the equation by x
100=9.3333970697196*x       - we divide both sides of the equation by (9.3333970697196) to get x
100/9.3333970697196=x
10.714212548015=x
x=10.714212548015

now we have:
836.78 is 10.714212548015% of 7810