361.39 is what percent of 498.76 - 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 498.76 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 498.76, so we can write it down as 100%=498.76.
4. We know, that x% equals 361.39 of the output value, so we can write it down as x%=361.39.
5. Now we have two simple equations:
1) 100%=498.76
2) x%=361.39
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%=498.76/361.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 361.39 is what percent of 498.76

100%/x%=498.76/361.39
(100/x)*x=(498.76/361.39)*x       - we multiply both sides of the equation by x
100=1.3801156645176*x       - we divide both sides of the equation by (1.3801156645176) to get x
100/1.3801156645176=x
72.457695083808=x
x=72.457695083808

now we have:
361.39 is 72.457695083808% of 498.76