1000.3 is what percent of 5463.3 - 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 5463.3 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 5463.3, so we can write it down as 100%=5463.3.
4. We know, that x% equals 1000.3 of the output value, so we can write it down as x%=1000.3.
5. Now we have two simple equations:
1) 100%=5463.3
2) x%=1000.3
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%=5463.3/1000.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1000.3 is what percent of 5463.3

100%/x%=5463.3/1000.3
(100/x)*x=(5463.3/1000.3)*x       - we multiply both sides of the equation by x
100=5.4616615015495*x       - we divide both sides of the equation by (5.4616615015495) to get x
100/5.4616615015495=x
18.309446671426=x
x=18.309446671426

now we have:
1000.3 is 18.309446671426% of 5463.3