10.63 is what percent of 345.48 - 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 345.48 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 345.48, so we can write it down as 100%=345.48.
4. We know, that x% equals 10.63 of the output value, so we can write it down as x%=10.63.
5. Now we have two simple equations:
1) 100%=345.48
2) x%=10.63
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%=345.48/10.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.63 is what percent of 345.48

100%/x%=345.48/10.63
(100/x)*x=(345.48/10.63)*x       - we multiply both sides of the equation by x
100=32.500470366886*x       - we divide both sides of the equation by (32.500470366886) to get x
100/32.500470366886=x
3.0768785457914=x
x=3.0768785457914

now we have:
10.63 is 3.0768785457914% of 345.48