0.04 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 0.04 of the output value, so we can write it down as x%=0.04.
5. Now we have two simple equations:
1) 100%=10.02
2) x%=0.04
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%=10.02/0.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.04 is what percent of 10.02

100%/x%=10.02/0.04
(100/x)*x=(10.02/0.04)*x       - we multiply both sides of the equation by x
100=250.5*x       - we divide both sides of the equation by (250.5) to get x
100/250.5=x
0.39920159680639=x
x=0.39920159680639

now we have:
0.04 is 0.39920159680639% of 10.02