705.63 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 705.63 of the output value, so we can write it down as x%=705.63.
5. Now we have two simple equations:
1) 100%=840
2) x%=705.63
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%=840/705.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 705.63 is what percent of 840

100%/x%=840/705.63
(100/x)*x=(840/705.63)*x       - we multiply both sides of the equation by x
100=1.1904255771438*x       - we divide both sides of the equation by (1.1904255771438) to get x
100/1.1904255771438=x
84.003571428571=x
x=84.003571428571

now we have:
705.63 is 84.003571428571% of 840