6.02 is what percent of 1193.87 - 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 1193.87 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 1193.87, so we can write it down as 100%=1193.87.
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%=1193.87
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%=1193.87/6.02
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 1193.87

100%/x%=1193.87/6.02
(100/x)*x=(1193.87/6.02)*x       - we multiply both sides of the equation by x
100=198.31727574751*x       - we divide both sides of the equation by (198.31727574751) to get x
100/198.31727574751=x
0.50424250546542=x
x=0.50424250546542

now we have:
6.02 is 0.50424250546542% of 1193.87