398.4 is what percent of 507 - 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 507 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 507, so we can write it down as 100%=507.
4. We know, that x% equals 398.4 of the output value, so we can write it down as x%=398.4.
5. Now we have two simple equations:
1) 100%=507
2) x%=398.4
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%=507/398.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 398.4 is what percent of 507

100%/x%=507/398.4
(100/x)*x=(507/398.4)*x       - we multiply both sides of the equation by x
100=1.2725903614458*x       - we divide both sides of the equation by (1.2725903614458) to get x
100/1.2725903614458=x
78.579881656805=x
x=78.579881656805

now we have:
398.4 is 78.579881656805% of 507