1062.55 is what percent of 1562.55 - 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 1562.55 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 1562.55, so we can write it down as 100%=1562.55.
4. We know, that x% equals 1062.55 of the output value, so we can write it down as x%=1062.55.
5. Now we have two simple equations:
1) 100%=1562.55
2) x%=1062.55
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%=1562.55/1062.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1062.55 is what percent of 1562.55

100%/x%=1562.55/1062.55
(100/x)*x=(1562.55/1062.55)*x       - we multiply both sides of the equation by x
100=1.4705660910075*x       - we divide both sides of the equation by (1.4705660910075) to get x
100/1.4705660910075=x
68.001023967233=x
x=68.001023967233

now we have:
1062.55 is 68.001023967233% of 1562.55