20001.42 is what percent of 217850.7 - 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 217850.7 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 217850.7, so we can write it down as 100%=217850.7.
4. We know, that x% equals 20001.42 of the output value, so we can write it down as x%=20001.42.
5. Now we have two simple equations:
1) 100%=217850.7
2) x%=20001.42
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%=217850.7/20001.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20001.42 is what percent of 217850.7

100%/x%=217850.7/20001.42
(100/x)*x=(217850.7/20001.42)*x       - we multiply both sides of the equation by x
100=10.89176168492*x       - we divide both sides of the equation by (10.89176168492) to get x
100/10.89176168492=x
9.1812511963469=x
x=9.1812511963469

now we have:
20001.42 is 9.1812511963469% of 217850.7