47.22 is what percent of 503.45 - 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 503.45 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 503.45, so we can write it down as 100%=503.45.
4. We know, that x% equals 47.22 of the output value, so we can write it down as x%=47.22.
5. Now we have two simple equations:
1) 100%=503.45
2) x%=47.22
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%=503.45/47.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.22 is what percent of 503.45

100%/x%=503.45/47.22
(100/x)*x=(503.45/47.22)*x       - we multiply both sides of the equation by x
100=10.661795849216*x       - we divide both sides of the equation by (10.661795849216) to get x
100/10.661795849216=x
9.3792829476611=x
x=9.3792829476611

now we have:
47.22 is 9.3792829476611% of 503.45