721.15 is what percent of 964.1 - 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 964.1 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 964.1, so we can write it down as 100%=964.1.
4. We know, that x% equals 721.15 of the output value, so we can write it down as x%=721.15.
5. Now we have two simple equations:
1) 100%=964.1
2) x%=721.15
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%=964.1/721.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 721.15 is what percent of 964.1

100%/x%=964.1/721.15
(100/x)*x=(964.1/721.15)*x       - we multiply both sides of the equation by x
100=1.3368924634265*x       - we divide both sides of the equation by (1.3368924634265) to get x
100/1.3368924634265=x
74.800331915776=x
x=74.800331915776

now we have:
721.15 is 74.800331915776% of 964.1