59.13 is what percent of 821.23 - 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 821.23 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 821.23, so we can write it down as 100%=821.23.
4. We know, that x% equals 59.13 of the output value, so we can write it down as x%=59.13.
5. Now we have two simple equations:
1) 100%=821.23
2) x%=59.13
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%=821.23/59.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.13 is what percent of 821.23

100%/x%=821.23/59.13
(100/x)*x=(821.23/59.13)*x       - we multiply both sides of the equation by x
100=13.888550651108*x       - we divide both sides of the equation by (13.888550651108) to get x
100/13.888550651108=x
7.200175346736=x
x=7.200175346736

now we have:
59.13 is 7.200175346736% of 821.23