6.03 is what percent of 6.4 - 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 6.4 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 6.4, so we can write it down as 100%=6.4.
4. We know, that x% equals 6.03 of the output value, so we can write it down as x%=6.03.
5. Now we have two simple equations:
1) 100%=6.4
2) x%=6.03
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%=6.4/6.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.03 is what percent of 6.4

100%/x%=6.4/6.03
(100/x)*x=(6.4/6.03)*x       - we multiply both sides of the equation by x
100=1.06135986733*x       - we divide both sides of the equation by (1.06135986733) to get x
100/1.06135986733=x
94.21875=x
x=94.21875

now we have:
6.03 is 94.21875% of 6.4