6.02 is what percent of 4.07 - 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 4.07 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 4.07, so we can write it down as 100%=4.07.
4. We know, that x% equals 6.02 of the output value, so we can write it down as x%=6.02.
5. Now we have two simple equations:
1) 100%=4.07
2) x%=6.02
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%=4.07/6.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.02 is what percent of 4.07

100%/x%=4.07/6.02
(100/x)*x=(4.07/6.02)*x       - we multiply both sides of the equation by x
100=0.67607973421927*x       - we divide both sides of the equation by (0.67607973421927) to get x
100/0.67607973421927=x
147.91154791155=x
x=147.91154791155

now we have:
6.02 is 147.91154791155% of 4.07