17.46 is what percent of 76.45 - 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 76.45 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 76.45, so we can write it down as 100%=76.45.
4. We know, that x% equals 17.46 of the output value, so we can write it down as x%=17.46.
5. Now we have two simple equations:
1) 100%=76.45
2) x%=17.46
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%=76.45/17.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.46 is what percent of 76.45

100%/x%=76.45/17.46
(100/x)*x=(76.45/17.46)*x       - we multiply both sides of the equation by x
100=4.3785796105384*x       - we divide both sides of the equation by (4.3785796105384) to get x
100/4.3785796105384=x
22.838456507521=x
x=22.838456507521

now we have:
17.46 is 22.838456507521% of 76.45