69.27 is what percent of 145.83 - 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 145.83 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 145.83, so we can write it down as 100%=145.83.
4. We know, that x% equals 69.27 of the output value, so we can write it down as x%=69.27.
5. Now we have two simple equations:
1) 100%=145.83
2) x%=69.27
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%=145.83/69.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.27 is what percent of 145.83

100%/x%=145.83/69.27
(100/x)*x=(145.83/69.27)*x       - we multiply both sides of the equation by x
100=2.1052403637939*x       - we divide both sides of the equation by (2.1052403637939) to get x
100/2.1052403637939=x
47.50051429747=x
x=47.50051429747

now we have:
69.27 is 47.50051429747% of 145.83