72.1 is what percent of 412.7 - 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 412.7 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 412.7, so we can write it down as 100%=412.7.
4. We know, that x% equals 72.1 of the output value, so we can write it down as x%=72.1.
5. Now we have two simple equations:
1) 100%=412.7
2) x%=72.1
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%=412.7/72.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.1 is what percent of 412.7

100%/x%=412.7/72.1
(100/x)*x=(412.7/72.1)*x       - we multiply both sides of the equation by x
100=5.7239944521498*x       - we divide both sides of the equation by (5.7239944521498) to get x
100/5.7239944521498=x
17.470317421856=x
x=17.470317421856

now we have:
72.1 is 17.470317421856% of 412.7