695.97 is what percent of 1199.96 - 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 1199.96 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 1199.96, so we can write it down as 100%=1199.96.
4. We know, that x% equals 695.97 of the output value, so we can write it down as x%=695.97.
5. Now we have two simple equations:
1) 100%=1199.96
2) x%=695.97
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%=1199.96/695.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 695.97 is what percent of 1199.96

100%/x%=1199.96/695.97
(100/x)*x=(1199.96/695.97)*x       - we multiply both sides of the equation by x
100=1.7241547767864*x       - we divide both sides of the equation by (1.7241547767864) to get x
100/1.7241547767864=x
57.999433314444=x
x=57.999433314444

now we have:
695.97 is 57.999433314444% of 1199.96