778.67 is what percent of 840 - 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 840 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 840, so we can write it down as 100%=840.
4. We know, that x% equals 778.67 of the output value, so we can write it down as x%=778.67.
5. Now we have two simple equations:
1) 100%=840
2) x%=778.67
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%=840/778.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 778.67 is what percent of 840

100%/x%=840/778.67
(100/x)*x=(840/778.67)*x       - we multiply both sides of the equation by x
100=1.0787625052975*x       - we divide both sides of the equation by (1.0787625052975) to get x
100/1.0787625052975=x
92.69880952381=x
x=92.69880952381

now we have:
778.67 is 92.69880952381% of 840