56.25 is what percent of 442.13 - 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 442.13 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 442.13, so we can write it down as 100%=442.13.
4. We know, that x% equals 56.25 of the output value, so we can write it down as x%=56.25.
5. Now we have two simple equations:
1) 100%=442.13
2) x%=56.25
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%=442.13/56.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.25 is what percent of 442.13

100%/x%=442.13/56.25
(100/x)*x=(442.13/56.25)*x       - we multiply both sides of the equation by x
100=7.8600888888889*x       - we divide both sides of the equation by (7.8600888888889) to get x
100/7.8600888888889=x
12.722502431412=x
x=12.722502431412

now we have:
56.25 is 12.722502431412% of 442.13