46.76 is what percent of 473.22 - 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 473.22 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 473.22, so we can write it down as 100%=473.22.
4. We know, that x% equals 46.76 of the output value, so we can write it down as x%=46.76.
5. Now we have two simple equations:
1) 100%=473.22
2) x%=46.76
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%=473.22/46.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.76 is what percent of 473.22

100%/x%=473.22/46.76
(100/x)*x=(473.22/46.76)*x       - we multiply both sides of the equation by x
100=10.120188195038*x       - we divide both sides of the equation by (10.120188195038) to get x
100/10.120188195038=x
9.8812391699421=x
x=9.8812391699421

now we have:
46.76 is 9.8812391699421% of 473.22