1.03 is what percent of 34.82 - 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 34.82 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 34.82, so we can write it down as 100%=34.82.
4. We know, that x% equals 1.03 of the output value, so we can write it down as x%=1.03.
5. Now we have two simple equations:
1) 100%=34.82
2) x%=1.03
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%=34.82/1.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.03 is what percent of 34.82

100%/x%=34.82/1.03
(100/x)*x=(34.82/1.03)*x       - we multiply both sides of the equation by x
100=33.805825242718*x       - we divide both sides of the equation by (33.805825242718) to get x
100/33.805825242718=x
2.9580700746697=x
x=2.9580700746697

now we have:
1.03 is 2.9580700746697% of 34.82