49.2 is what percent of 72.4 - 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 72.4 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 72.4, so we can write it down as 100%=72.4.
4. We know, that x% equals 49.2 of the output value, so we can write it down as x%=49.2.
5. Now we have two simple equations:
1) 100%=72.4
2) x%=49.2
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%=72.4/49.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.2 is what percent of 72.4

100%/x%=72.4/49.2
(100/x)*x=(72.4/49.2)*x       - we multiply both sides of the equation by x
100=1.4715447154472*x       - we divide both sides of the equation by (1.4715447154472) to get x
100/1.4715447154472=x
67.955801104972=x
x=67.955801104972

now we have:
49.2 is 67.955801104972% of 72.4