10.06 is what percent of 105.94 - 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 105.94 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 105.94, so we can write it down as 100%=105.94.
4. We know, that x% equals 10.06 of the output value, so we can write it down as x%=10.06.
5. Now we have two simple equations:
1) 100%=105.94
2) x%=10.06
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%=105.94/10.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.06 is what percent of 105.94

100%/x%=105.94/10.06
(100/x)*x=(105.94/10.06)*x       - we multiply both sides of the equation by x
100=10.530815109344*x       - we divide both sides of the equation by (10.530815109344) to get x
100/10.530815109344=x
9.4959410987351=x
x=9.4959410987351

now we have:
10.06 is 9.4959410987351% of 105.94