22.72 is what percent of 35.76 - 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 35.76 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 35.76, so we can write it down as 100%=35.76.
4. We know, that x% equals 22.72 of the output value, so we can write it down as x%=22.72.
5. Now we have two simple equations:
1) 100%=35.76
2) x%=22.72
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%=35.76/22.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.72 is what percent of 35.76

100%/x%=35.76/22.72
(100/x)*x=(35.76/22.72)*x       - we multiply both sides of the equation by x
100=1.5739436619718*x       - we divide both sides of the equation by (1.5739436619718) to get x
100/1.5739436619718=x
63.534675615213=x
x=63.534675615213

now we have:
22.72 is 63.534675615213% of 35.76