6.18 is what percent of 202.9 - 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 202.9 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 202.9, so we can write it down as 100%=202.9.
4. We know, that x% equals 6.18 of the output value, so we can write it down as x%=6.18.
5. Now we have two simple equations:
1) 100%=202.9
2) x%=6.18
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%=202.9/6.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.18 is what percent of 202.9

100%/x%=202.9/6.18
(100/x)*x=(202.9/6.18)*x       - we multiply both sides of the equation by x
100=32.831715210356*x       - we divide both sides of the equation by (32.831715210356) to get x
100/32.831715210356=x
3.0458353868901=x
x=3.0458353868901

now we have:
6.18 is 3.0458353868901% of 202.9