400.02 is what percent of 500.03 - 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 500.03 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 500.03, so we can write it down as 100%=500.03.
4. We know, that x% equals 400.02 of the output value, so we can write it down as x%=400.02.
5. Now we have two simple equations:
1) 100%=500.03
2) x%=400.02
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%=500.03/400.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 400.02 is what percent of 500.03

100%/x%=500.03/400.02
(100/x)*x=(500.03/400.02)*x       - we multiply both sides of the equation by x
100=1.250012499375*x       - we divide both sides of the equation by (1.250012499375) to get x
100/1.250012499375=x
79.999200047997=x
x=79.999200047997

now we have:
400.02 is 79.999200047997% of 500.03