302.04 is what percent of 4202.04 - 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 4202.04 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 4202.04, so we can write it down as 100%=4202.04.
4. We know, that x% equals 302.04 of the output value, so we can write it down as x%=302.04.
5. Now we have two simple equations:
1) 100%=4202.04
2) x%=302.04
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%=4202.04/302.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 302.04 is what percent of 4202.04

100%/x%=4202.04/302.04
(100/x)*x=(4202.04/302.04)*x       - we multiply both sides of the equation by x
100=13.912197059992*x       - we divide both sides of the equation by (13.912197059992) to get x
100/13.912197059992=x
7.1879372876032=x
x=7.1879372876032

now we have:
302.04 is 7.1879372876032% of 4202.04