379.99 is what percent of 249.99 - 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 249.99 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 249.99, so we can write it down as 100%=249.99.
4. We know, that x% equals 379.99 of the output value, so we can write it down as x%=379.99.
5. Now we have two simple equations:
1) 100%=249.99
2) x%=379.99
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%=249.99/379.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 379.99 is what percent of 249.99

100%/x%=249.99/379.99
(100/x)*x=(249.99/379.99)*x       - we multiply both sides of the equation by x
100=0.6578857338351*x       - we divide both sides of the equation by (0.6578857338351) to get x
100/0.6578857338351=x
152.0020800832=x
x=152.0020800832

now we have:
379.99 is 152.0020800832% of 249.99