59 is what percent of 1303 - 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 1303 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 1303, so we can write it down as 100%=1303.
4. We know, that x% equals 59 of the output value, so we can write it down as x%=59.
5. Now we have two simple equations:
1) 100%=1303
2) x%=59
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%=1303/59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59 is what percent of 1303

100%/x%=1303/59
(100/x)*x=(1303/59)*x       - we multiply both sides of the equation by x
100=22.084745762712*x       - we divide both sides of the equation by (22.084745762712) to get x
100/22.084745762712=x
4.5280122793553=x
x=4.5280122793553

now we have:
59 is 4.5280122793553% of 1303