501.33 is what percent of 1195.16 - 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 1195.16 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 1195.16, so we can write it down as 100%=1195.16.
4. We know, that x% equals 501.33 of the output value, so we can write it down as x%=501.33.
5. Now we have two simple equations:
1) 100%=1195.16
2) x%=501.33
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%=1195.16/501.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 501.33 is what percent of 1195.16

100%/x%=1195.16/501.33
(100/x)*x=(1195.16/501.33)*x       - we multiply both sides of the equation by x
100=2.3839786168791*x       - we divide both sides of the equation by (2.3839786168791) to get x
100/2.3839786168791=x
41.946684962683=x
x=41.946684962683

now we have:
501.33 is 41.946684962683% of 1195.16