187.24 is what percent of 3020 - 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 3020 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 3020, so we can write it down as 100%=3020.
4. We know, that x% equals 187.24 of the output value, so we can write it down as x%=187.24.
5. Now we have two simple equations:
1) 100%=3020
2) x%=187.24
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%=3020/187.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 187.24 is what percent of 3020

100%/x%=3020/187.24
(100/x)*x=(3020/187.24)*x       - we multiply both sides of the equation by x
100=16.129032258065*x       - we divide both sides of the equation by (16.129032258065) to get x
100/16.129032258065=x
6.2=x
x=6.2

now we have:
187.24 is 6.2% of 3020