45.63 is what percent of 10.02 - 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 10.02 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 10.02, so we can write it down as 100%=10.02.
4. We know, that x% equals 45.63 of the output value, so we can write it down as x%=45.63.
5. Now we have two simple equations:
1) 100%=10.02
2) x%=45.63
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%=10.02/45.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.63 is what percent of 10.02

100%/x%=10.02/45.63
(100/x)*x=(10.02/45.63)*x       - we multiply both sides of the equation by x
100=0.21959237343853*x       - we divide both sides of the equation by (0.21959237343853) to get x
100/0.21959237343853=x
455.38922155689=x
x=455.38922155689

now we have:
45.63 is 455.38922155689% of 10.02