15075.55 is what percent of 42217.14 - 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 42217.14 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 42217.14, so we can write it down as 100%=42217.14.
4. We know, that x% equals 15075.55 of the output value, so we can write it down as x%=15075.55.
5. Now we have two simple equations:
1) 100%=42217.14
2) x%=15075.55
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%=42217.14/15075.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15075.55 is what percent of 42217.14

100%/x%=42217.14/15075.55
(100/x)*x=(42217.14/15075.55)*x       - we multiply both sides of the equation by x
100=2.800371462401*x       - we divide both sides of the equation by (2.800371462401) to get x
100/2.800371462401=x
35.709548301946=x
x=35.709548301946

now we have:
15075.55 is 35.709548301946% of 42217.14