397.8 is what percent of 6002.7 - 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 6002.7 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 6002.7, so we can write it down as 100%=6002.7.
4. We know, that x% equals 397.8 of the output value, so we can write it down as x%=397.8.
5. Now we have two simple equations:
1) 100%=6002.7
2) x%=397.8
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%=6002.7/397.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 397.8 is what percent of 6002.7

100%/x%=6002.7/397.8
(100/x)*x=(6002.7/397.8)*x       - we multiply both sides of the equation by x
100=15.089743589744*x       - we divide both sides of the equation by (15.089743589744) to get x
100/15.089743589744=x
6.6270178419711=x
x=6.6270178419711

now we have:
397.8 is 6.6270178419711% of 6002.7