5.24 is what percent of 510.36 - 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 510.36 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 510.36, so we can write it down as 100%=510.36.
4. We know, that x% equals 5.24 of the output value, so we can write it down as x%=5.24.
5. Now we have two simple equations:
1) 100%=510.36
2) x%=5.24
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%=510.36/5.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.24 is what percent of 510.36

100%/x%=510.36/5.24
(100/x)*x=(510.36/5.24)*x       - we multiply both sides of the equation by x
100=97.396946564885*x       - we divide both sides of the equation by (97.396946564885) to get x
100/97.396946564885=x
1.0267262324634=x
x=1.0267262324634

now we have:
5.24 is 1.0267262324634% of 510.36