677.5 is what percent of 464.372 - 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 464.372 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 464.372, so we can write it down as 100%=464.372.
4. We know, that x% equals 677.5 of the output value, so we can write it down as x%=677.5.
5. Now we have two simple equations:
1) 100%=464.372
2) x%=677.5
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%=464.372/677.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 677.5 is what percent of 464.372

100%/x%=464.372/677.5
(100/x)*x=(464.372/677.5)*x       - we multiply both sides of the equation by x
100=0.68541992619926*x       - we divide both sides of the equation by (0.68541992619926) to get x
100/0.68541992619926=x
145.89596271954=x
x=145.89596271954

now we have:
677.5 is 145.89596271954% of 464.372