2410.2 is what percent of 5315.8 - 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 5315.8 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 5315.8, so we can write it down as 100%=5315.8.
4. We know, that x% equals 2410.2 of the output value, so we can write it down as x%=2410.2.
5. Now we have two simple equations:
1) 100%=5315.8
2) x%=2410.2
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%=5315.8/2410.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2410.2 is what percent of 5315.8

100%/x%=5315.8/2410.2
(100/x)*x=(5315.8/2410.2)*x       - we multiply both sides of the equation by x
100=2.2055431084557*x       - we divide both sides of the equation by (2.2055431084557) to get x
100/2.2055431084557=x
45.340306256819=x
x=45.340306256819

now we have:
2410.2 is 45.340306256819% of 5315.8