49502.98 is what percent of 946895.05 - 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 946895.05 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 946895.05, so we can write it down as 100%=946895.05.
4. We know, that x% equals 49502.98 of the output value, so we can write it down as x%=49502.98.
5. Now we have two simple equations:
1) 100%=946895.05
2) x%=49502.98
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%=946895.05/49502.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49502.98 is what percent of 946895.05

100%/x%=946895.05/49502.98
(100/x)*x=(946895.05/49502.98)*x       - we multiply both sides of the equation by x
100=19.128041382559*x       - we divide both sides of the equation by (19.128041382559) to get x
100/19.128041382559=x
5.2279267908307=x
x=5.2279267908307

now we have:
49502.98 is 5.2279267908307% of 946895.05