295.38 is what percent of 387.23 - 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 387.23 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 387.23, so we can write it down as 100%=387.23.
4. We know, that x% equals 295.38 of the output value, so we can write it down as x%=295.38.
5. Now we have two simple equations:
1) 100%=387.23
2) x%=295.38
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%=387.23/295.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 295.38 is what percent of 387.23

100%/x%=387.23/295.38
(100/x)*x=(387.23/295.38)*x       - we multiply both sides of the equation by x
100=1.3109553795111*x       - we divide both sides of the equation by (1.3109553795111) to get x
100/1.3109553795111=x
76.280246881698=x
x=76.280246881698

now we have:
295.38 is 76.280246881698% of 387.23