794.71 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 794.71 of the output value, so we can write it down as x%=794.71.
5. Now we have two simple equations:
1) 100%=840
2) x%=794.71
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%=840/794.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 794.71 is what percent of 840

100%/x%=840/794.71
(100/x)*x=(840/794.71)*x       - we multiply both sides of the equation by x
100=1.0569893420241*x       - we divide both sides of the equation by (1.0569893420241) to get x
100/1.0569893420241=x
94.608333333333=x
x=94.608333333333

now we have:
794.71 is 94.608333333333% of 840