62948.68 is what percent of 150410.11 - 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 150410.11 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 150410.11, so we can write it down as 100%=150410.11.
4. We know, that x% equals 62948.68 of the output value, so we can write it down as x%=62948.68.
5. Now we have two simple equations:
1) 100%=150410.11
2) x%=62948.68
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%=150410.11/62948.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62948.68 is what percent of 150410.11

100%/x%=150410.11/62948.68
(100/x)*x=(150410.11/62948.68)*x       - we multiply both sides of the equation by x
100=2.3894084832279*x       - we divide both sides of the equation by (2.3894084832279) to get x
100/2.3894084832279=x
41.851362252178=x
x=41.851362252178

now we have:
62948.68 is 41.851362252178% of 150410.11