56.3 is what percent of 368.7 - 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 368.7 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 368.7, so we can write it down as 100%=368.7.
4. We know, that x% equals 56.3 of the output value, so we can write it down as x%=56.3.
5. Now we have two simple equations:
1) 100%=368.7
2) x%=56.3
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%=368.7/56.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.3 is what percent of 368.7

100%/x%=368.7/56.3
(100/x)*x=(368.7/56.3)*x       - we multiply both sides of the equation by x
100=6.5488454706927*x       - we divide both sides of the equation by (6.5488454706927) to get x
100/6.5488454706927=x
15.269867100624=x
x=15.269867100624

now we have:
56.3 is 15.269867100624% of 368.7