1.06 is what percent of 2910.98 - 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 2910.98 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 2910.98, so we can write it down as 100%=2910.98.
4. We know, that x% equals 1.06 of the output value, so we can write it down as x%=1.06.
5. Now we have two simple equations:
1) 100%=2910.98
2) x%=1.06
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%=2910.98/1.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.06 is what percent of 2910.98

100%/x%=2910.98/1.06
(100/x)*x=(2910.98/1.06)*x       - we multiply both sides of the equation by x
100=2746.2075471698*x       - we divide both sides of the equation by (2746.2075471698) to get x
100/2746.2075471698=x
0.036413853753719=x
x=0.036413853753719

now we have:
1.06 is 0.036413853753719% of 2910.98