17.79 is what percent of 16.968 - 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 16.968 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 16.968, so we can write it down as 100%=16.968.
4. We know, that x% equals 17.79 of the output value, so we can write it down as x%=17.79.
5. Now we have two simple equations:
1) 100%=16.968
2) x%=17.79
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%=16.968/17.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.79 is what percent of 16.968

100%/x%=16.968/17.79
(100/x)*x=(16.968/17.79)*x       - we multiply both sides of the equation by x
100=0.95379426644182*x       - we divide both sides of the equation by (0.95379426644182) to get x
100/0.95379426644182=x
104.84441301273=x
x=104.84441301273

now we have:
17.79 is 104.84441301273% of 16.968