370.07 is what percent of 9 - 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 9 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 9, so we can write it down as 100%=9.
4. We know, that x% equals 370.07 of the output value, so we can write it down as x%=370.07.
5. Now we have two simple equations:
1) 100%=9
2) x%=370.07
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%=9/370.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 370.07 is what percent of 9

100%/x%=9/370.07
(100/x)*x=(9/370.07)*x       - we multiply both sides of the equation by x
100=0.024319723295593*x       - we divide both sides of the equation by (0.024319723295593) to get x
100/0.024319723295593=x
4111.8888888889=x
x=4111.8888888889

now we have:
370.07 is 4111.8888888889% of 9