31.2 is what percent of 46.87 - 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 46.87 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 46.87, so we can write it down as 100%=46.87.
4. We know, that x% equals 31.2 of the output value, so we can write it down as x%=31.2.
5. Now we have two simple equations:
1) 100%=46.87
2) x%=31.2
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%=46.87/31.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.2 is what percent of 46.87

100%/x%=46.87/31.2
(100/x)*x=(46.87/31.2)*x       - we multiply both sides of the equation by x
100=1.5022435897436*x       - we divide both sides of the equation by (1.5022435897436) to get x
100/1.5022435897436=x
66.567100490719=x
x=66.567100490719

now we have:
31.2 is 66.567100490719% of 46.87