72.86 is what percent of 316.9 - 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 316.9 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 316.9, so we can write it down as 100%=316.9.
4. We know, that x% equals 72.86 of the output value, so we can write it down as x%=72.86.
5. Now we have two simple equations:
1) 100%=316.9
2) x%=72.86
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%=316.9/72.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.86 is what percent of 316.9

100%/x%=316.9/72.86
(100/x)*x=(316.9/72.86)*x       - we multiply both sides of the equation by x
100=4.3494372769695*x       - we divide both sides of the equation by (4.3494372769695) to get x
100/4.3494372769695=x
22.991479962133=x
x=22.991479962133

now we have:
72.86 is 22.991479962133% of 316.9