49769.3 is what percent of 31250 - 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 31250 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 31250, so we can write it down as 100%=31250.
4. We know, that x% equals 49769.3 of the output value, so we can write it down as x%=49769.3.
5. Now we have two simple equations:
1) 100%=31250
2) x%=49769.3
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%=31250/49769.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49769.3 is what percent of 31250

100%/x%=31250/49769.3
(100/x)*x=(31250/49769.3)*x       - we multiply both sides of the equation by x
100=0.62789711729922*x       - we divide both sides of the equation by (0.62789711729922) to get x
100/0.62789711729922=x
159.26176=x
x=159.26176

now we have:
49769.3 is 159.26176% of 31250