301.99 is what percent of 698.51 - 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 698.51 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 698.51, so we can write it down as 100%=698.51.
4. We know, that x% equals 301.99 of the output value, so we can write it down as x%=301.99.
5. Now we have two simple equations:
1) 100%=698.51
2) x%=301.99
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%=698.51/301.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 301.99 is what percent of 698.51

100%/x%=698.51/301.99
(100/x)*x=(698.51/301.99)*x       - we multiply both sides of the equation by x
100=2.3130236100533*x       - we divide both sides of the equation by (2.3130236100533) to get x
100/2.3130236100533=x
43.233454066513=x
x=43.233454066513

now we have:
301.99 is 43.233454066513% of 698.51