102.72 is what percent of 4670.03 - 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 4670.03 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 4670.03, so we can write it down as 100%=4670.03.
4. We know, that x% equals 102.72 of the output value, so we can write it down as x%=102.72.
5. Now we have two simple equations:
1) 100%=4670.03
2) x%=102.72
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%=4670.03/102.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.72 is what percent of 4670.03

100%/x%=4670.03/102.72
(100/x)*x=(4670.03/102.72)*x       - we multiply both sides of the equation by x
100=45.463687694704*x       - we divide both sides of the equation by (45.463687694704) to get x
100/45.463687694704=x
2.199557604555=x
x=2.199557604555

now we have:
102.72 is 2.199557604555% of 4670.03