10.5 is what percent of 105.98 - 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 105.98 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 105.98, so we can write it down as 100%=105.98.
4. We know, that x% equals 10.5 of the output value, so we can write it down as x%=10.5.
5. Now we have two simple equations:
1) 100%=105.98
2) x%=10.5
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%=105.98/10.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.5 is what percent of 105.98

100%/x%=105.98/10.5
(100/x)*x=(105.98/10.5)*x       - we multiply both sides of the equation by x
100=10.093333333333*x       - we divide both sides of the equation by (10.093333333333) to get x
100/10.093333333333=x
9.9075297225892=x
x=9.9075297225892

now we have:
10.5 is 9.9075297225892% of 105.98