67214.28 is what percent of 120225 - 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 120225 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 120225, so we can write it down as 100%=120225.
4. We know, that x% equals 67214.28 of the output value, so we can write it down as x%=67214.28.
5. Now we have two simple equations:
1) 100%=120225
2) x%=67214.28
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%=120225/67214.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67214.28 is what percent of 120225

100%/x%=120225/67214.28
(100/x)*x=(120225/67214.28)*x       - we multiply both sides of the equation by x
100=1.7886824049889*x       - we divide both sides of the equation by (1.7886824049889) to get x
100/1.7886824049889=x
55.907074235808=x
x=55.907074235808

now we have:
67214.28 is 55.907074235808% of 120225