719.9 is what percent of 976.5 - 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 976.5 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 976.5, so we can write it down as 100%=976.5.
4. We know, that x% equals 719.9 of the output value, so we can write it down as x%=719.9.
5. Now we have two simple equations:
1) 100%=976.5
2) x%=719.9
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%=976.5/719.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 719.9 is what percent of 976.5

100%/x%=976.5/719.9
(100/x)*x=(976.5/719.9)*x       - we multiply both sides of the equation by x
100=1.3564383942214*x       - we divide both sides of the equation by (1.3564383942214) to get x
100/1.3564383942214=x
73.722478238607=x
x=73.722478238607

now we have:
719.9 is 73.722478238607% of 976.5