511.58 is what percent of 315.42 - 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 315.42 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 315.42, so we can write it down as 100%=315.42.
4. We know, that x% equals 511.58 of the output value, so we can write it down as x%=511.58.
5. Now we have two simple equations:
1) 100%=315.42
2) x%=511.58
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%=315.42/511.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 511.58 is what percent of 315.42

100%/x%=315.42/511.58
(100/x)*x=(315.42/511.58)*x       - we multiply both sides of the equation by x
100=0.61656045975214*x       - we divide both sides of the equation by (0.61656045975214) to get x
100/0.61656045975214=x
162.19009574536=x
x=162.19009574536

now we have:
511.58 is 162.19009574536% of 315.42