1001.55 is what percent of 1621.6 - 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 1621.6 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 1621.6, so we can write it down as 100%=1621.6.
4. We know, that x% equals 1001.55 of the output value, so we can write it down as x%=1001.55.
5. Now we have two simple equations:
1) 100%=1621.6
2) x%=1001.55
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%=1621.6/1001.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1001.55 is what percent of 1621.6

100%/x%=1621.6/1001.55
(100/x)*x=(1621.6/1001.55)*x       - we multiply both sides of the equation by x
100=1.6190904098647*x       - we divide both sides of the equation by (1.6190904098647) to get x
100/1.6190904098647=x
61.763073507647=x
x=61.763073507647

now we have:
1001.55 is 61.763073507647% of 1621.6