37.93 is what percent of 1698.37 - 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 1698.37 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 1698.37, so we can write it down as 100%=1698.37.
4. We know, that x% equals 37.93 of the output value, so we can write it down as x%=37.93.
5. Now we have two simple equations:
1) 100%=1698.37
2) x%=37.93
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%=1698.37/37.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.93 is what percent of 1698.37

100%/x%=1698.37/37.93
(100/x)*x=(1698.37/37.93)*x       - we multiply both sides of the equation by x
100=44.77643026628*x       - we divide both sides of the equation by (44.77643026628) to get x
100/44.77643026628=x
2.2333178282706=x
x=2.2333178282706

now we have:
37.93 is 2.2333178282706% of 1698.37