90.23 is what percent of 200.51 - 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 200.51 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 200.51, so we can write it down as 100%=200.51.
4. We know, that x% equals 90.23 of the output value, so we can write it down as x%=90.23.
5. Now we have two simple equations:
1) 100%=200.51
2) x%=90.23
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%=200.51/90.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.23 is what percent of 200.51

100%/x%=200.51/90.23
(100/x)*x=(200.51/90.23)*x       - we multiply both sides of the equation by x
100=2.2222099080129*x       - we divide both sides of the equation by (2.2222099080129) to get x
100/2.2222099080129=x
45.000249364121=x
x=45.000249364121

now we have:
90.23 is 45.000249364121% of 200.51