363.33 is what percent of 510 - 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 510 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 510, so we can write it down as 100%=510.
4. We know, that x% equals 363.33 of the output value, so we can write it down as x%=363.33.
5. Now we have two simple equations:
1) 100%=510
2) x%=363.33
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%=510/363.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 363.33 is what percent of 510

100%/x%=510/363.33
(100/x)*x=(510/363.33)*x       - we multiply both sides of the equation by x
100=1.4036826025927*x       - we divide both sides of the equation by (1.4036826025927) to get x
100/1.4036826025927=x
71.241176470588=x
x=71.241176470588

now we have:
363.33 is 71.241176470588% of 510