22.3 is what percent of 28.7 - 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 28.7 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 28.7, so we can write it down as 100%=28.7.
4. We know, that x% equals 22.3 of the output value, so we can write it down as x%=22.3.
5. Now we have two simple equations:
1) 100%=28.7
2) x%=22.3
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%=28.7/22.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.3 is what percent of 28.7

100%/x%=28.7/22.3
(100/x)*x=(28.7/22.3)*x       - we multiply both sides of the equation by x
100=1.2869955156951*x       - we divide both sides of the equation by (1.2869955156951) to get x
100/1.2869955156951=x
77.700348432056=x
x=77.700348432056

now we have:
22.3 is 77.700348432056% of 28.7