2.29 is what percent of 22 - 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 22 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 22, so we can write it down as 100%=22.
4. We know, that x% equals 2.29 of the output value, so we can write it down as x%=2.29.
5. Now we have two simple equations:
1) 100%=22
2) x%=2.29
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%=22/2.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.29 is what percent of 22

100%/x%=22/2.29
(100/x)*x=(22/2.29)*x       - we multiply both sides of the equation by x
100=9.6069868995633*x       - we divide both sides of the equation by (9.6069868995633) to get x
100/9.6069868995633=x
10.409090909091=x
x=10.409090909091

now we have:
2.29 is 10.409090909091% of 22