10311.99 is what percent of 45.646 - 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 45.646 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 45.646, so we can write it down as 100%=45.646.
4. We know, that x% equals 10311.99 of the output value, so we can write it down as x%=10311.99.
5. Now we have two simple equations:
1) 100%=45.646
2) x%=10311.99
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%=45.646/10311.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10311.99 is what percent of 45.646

100%/x%=45.646/10311.99
(100/x)*x=(45.646/10311.99)*x       - we multiply both sides of the equation by x
100=0.0044264976983104*x       - we divide both sides of the equation by (0.0044264976983104) to get x
100/0.0044264976983104=x
22591.2237655=x
x=22591.2237655

now we have:
10311.99 is 22591.2237655% of 45.646