3.63 is what percent of 10.46 - 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 10.46 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 10.46, so we can write it down as 100%=10.46.
4. We know, that x% equals 3.63 of the output value, so we can write it down as x%=3.63.
5. Now we have two simple equations:
1) 100%=10.46
2) x%=3.63
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%=10.46/3.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.63 is what percent of 10.46

100%/x%=10.46/3.63
(100/x)*x=(10.46/3.63)*x       - we multiply both sides of the equation by x
100=2.8815426997245*x       - we divide both sides of the equation by (2.8815426997245) to get x
100/2.8815426997245=x
34.703632887189=x
x=34.703632887189

now we have:
3.63 is 34.703632887189% of 10.46