5.59 is what percent of 562.1 - 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 562.1 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 562.1, so we can write it down as 100%=562.1.
4. We know, that x% equals 5.59 of the output value, so we can write it down as x%=5.59.
5. Now we have two simple equations:
1) 100%=562.1
2) x%=5.59
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%=562.1/5.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.59 is what percent of 562.1

100%/x%=562.1/5.59
(100/x)*x=(562.1/5.59)*x       - we multiply both sides of the equation by x
100=100.55456171735*x       - we divide both sides of the equation by (100.55456171735) to get x
100/100.55456171735=x
0.99448496708771=x
x=0.99448496708771

now we have:
5.59 is 0.99448496708771% of 562.1