30.03 is what percent of 119.92 - 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 119.92 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 119.92, so we can write it down as 100%=119.92.
4. We know, that x% equals 30.03 of the output value, so we can write it down as x%=30.03.
5. Now we have two simple equations:
1) 100%=119.92
2) x%=30.03
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%=119.92/30.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.03 is what percent of 119.92

100%/x%=119.92/30.03
(100/x)*x=(119.92/30.03)*x       - we multiply both sides of the equation by x
100=3.99333999334*x       - we divide both sides of the equation by (3.99333999334) to get x
100/3.99333999334=x
25.041694462975=x
x=25.041694462975

now we have:
30.03 is 25.041694462975% of 119.92