59 is what percent of 1924 - 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 1924 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 1924, so we can write it down as 100%=1924.
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%=1924
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%=1924/59
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 1924

100%/x%=1924/59
(100/x)*x=(1924/59)*x       - we multiply both sides of the equation by x
100=32.610169491525*x       - we divide both sides of the equation by (32.610169491525) to get x
100/32.610169491525=x
3.0665280665281=x
x=3.0665280665281

now we have:
59 is 3.0665280665281% of 1924