19 is what percent of 1857 - 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 1857 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 1857, so we can write it down as 100%=1857.
4. We know, that x% equals 19 of the output value, so we can write it down as x%=19.
5. Now we have two simple equations:
1) 100%=1857
2) x%=19
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%=1857/19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19 is what percent of 1857

100%/x%=1857/19
(100/x)*x=(1857/19)*x       - we multiply both sides of the equation by x
100=97.736842105263*x       - we divide both sides of the equation by (97.736842105263) to get x
100/97.736842105263=x
1.023155627356=x
x=1.023155627356

now we have:
19 is 1.023155627356% of 1857