88.23 is what percent of 505.77 - 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 505.77 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 505.77, so we can write it down as 100%=505.77.
4. We know, that x% equals 88.23 of the output value, so we can write it down as x%=88.23.
5. Now we have two simple equations:
1) 100%=505.77
2) x%=88.23
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%=505.77/88.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.23 is what percent of 505.77

100%/x%=505.77/88.23
(100/x)*x=(505.77/88.23)*x       - we multiply both sides of the equation by x
100=5.7324039442367*x       - we divide both sides of the equation by (5.7324039442367) to get x
100/5.7324039442367=x
17.444688297052=x
x=17.444688297052

now we have:
88.23 is 17.444688297052% of 505.77