6.02 is what percent of 212.958 - 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 212.958 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 212.958, so we can write it down as 100%=212.958.
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%=212.958
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%=212.958/6.02
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 212.958

100%/x%=212.958/6.02
(100/x)*x=(212.958/6.02)*x       - we multiply both sides of the equation by x
100=35.375083056478*x       - we divide both sides of the equation by (35.375083056478) to get x
100/35.375083056478=x
2.826848486556=x
x=2.826848486556

now we have:
6.02 is 2.826848486556% of 212.958