72.4 is what percent of 98.6 - 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 98.6 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 98.6, so we can write it down as 100%=98.6.
4. We know, that x% equals 72.4 of the output value, so we can write it down as x%=72.4.
5. Now we have two simple equations:
1) 100%=98.6
2) x%=72.4
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%=98.6/72.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.4 is what percent of 98.6

100%/x%=98.6/72.4
(100/x)*x=(98.6/72.4)*x       - we multiply both sides of the equation by x
100=1.3618784530387*x       - we divide both sides of the equation by (1.3618784530387) to get x
100/1.3618784530387=x
73.42799188641=x
x=73.42799188641

now we have:
72.4 is 73.42799188641% of 98.6