37.38 is what percent of 340.05 - 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 340.05 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 340.05, so we can write it down as 100%=340.05.
4. We know, that x% equals 37.38 of the output value, so we can write it down as x%=37.38.
5. Now we have two simple equations:
1) 100%=340.05
2) x%=37.38
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%=340.05/37.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.38 is what percent of 340.05

100%/x%=340.05/37.38
(100/x)*x=(340.05/37.38)*x       - we multiply both sides of the equation by x
100=9.0971107544141*x       - we divide both sides of the equation by (9.0971107544141) to get x
100/9.0971107544141=x
10.992501102779=x
x=10.992501102779

now we have:
37.38 is 10.992501102779% of 340.05