510.4 is what percent of 1355.9 - 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 1355.9 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 1355.9, so we can write it down as 100%=1355.9.
4. We know, that x% equals 510.4 of the output value, so we can write it down as x%=510.4.
5. Now we have two simple equations:
1) 100%=1355.9
2) x%=510.4
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%=1355.9/510.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 510.4 is what percent of 1355.9

100%/x%=1355.9/510.4
(100/x)*x=(1355.9/510.4)*x       - we multiply both sides of the equation by x
100=2.6565438871473*x       - we divide both sides of the equation by (2.6565438871473) to get x
100/2.6565438871473=x
37.642894018733=x
x=37.642894018733

now we have:
510.4 is 37.642894018733% of 1355.9