213.05 is what percent of 2242.63 - 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 2242.63 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 2242.63, so we can write it down as 100%=2242.63.
4. We know, that x% equals 213.05 of the output value, so we can write it down as x%=213.05.
5. Now we have two simple equations:
1) 100%=2242.63
2) x%=213.05
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%=2242.63/213.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 213.05 is what percent of 2242.63

100%/x%=2242.63/213.05
(100/x)*x=(2242.63/213.05)*x       - we multiply both sides of the equation by x
100=10.526308378315*x       - we divide both sides of the equation by (10.526308378315) to get x
100/10.526308378315=x
9.5000066885755=x
x=9.5000066885755

now we have:
213.05 is 9.5000066885755% of 2242.63