363.4 is what percent of 511 - 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 511 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 511, so we can write it down as 100%=511.
4. We know, that x% equals 363.4 of the output value, so we can write it down as x%=363.4.
5. Now we have two simple equations:
1) 100%=511
2) x%=363.4
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%=511/363.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 363.4 is what percent of 511

100%/x%=511/363.4
(100/x)*x=(511/363.4)*x       - we multiply both sides of the equation by x
100=1.4061640066043*x       - we divide both sides of the equation by (1.4061640066043) to get x
100/1.4061640066043=x
71.115459882583=x
x=71.115459882583

now we have:
363.4 is 71.115459882583% of 511