152.03 is what percent of 2448.83 - 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 2448.83 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 2448.83, so we can write it down as 100%=2448.83.
4. We know, that x% equals 152.03 of the output value, so we can write it down as x%=152.03.
5. Now we have two simple equations:
1) 100%=2448.83
2) x%=152.03
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%=2448.83/152.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 152.03 is what percent of 2448.83

100%/x%=2448.83/152.03
(100/x)*x=(2448.83/152.03)*x       - we multiply both sides of the equation by x
100=16.107544563573*x       - we divide both sides of the equation by (16.107544563573) to get x
100/16.107544563573=x
6.2082708885468=x
x=6.2082708885468

now we have:
152.03 is 6.2082708885468% of 2448.83