119.75 is what percent of 1612.5 - 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 1612.5 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 1612.5, so we can write it down as 100%=1612.5.
4. We know, that x% equals 119.75 of the output value, so we can write it down as x%=119.75.
5. Now we have two simple equations:
1) 100%=1612.5
2) x%=119.75
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%=1612.5/119.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 119.75 is what percent of 1612.5

100%/x%=1612.5/119.75
(100/x)*x=(1612.5/119.75)*x       - we multiply both sides of the equation by x
100=13.465553235908*x       - we divide both sides of the equation by (13.465553235908) to get x
100/13.465553235908=x
7.4263565891473=x
x=7.4263565891473

now we have:
119.75 is 7.4263565891473% of 1612.5