90 is what percent of 1834 - 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 1834 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 1834, so we can write it down as 100%=1834.
4. We know, that x% equals 90 of the output value, so we can write it down as x%=90.
5. Now we have two simple equations:
1) 100%=1834
2) x%=90
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%=1834/90
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90 is what percent of 1834

100%/x%=1834/90
(100/x)*x=(1834/90)*x       - we multiply both sides of the equation by x
100=20.377777777778*x       - we divide both sides of the equation by (20.377777777778) to get x
100/20.377777777778=x
4.907306434024=x
x=4.907306434024

now we have:
90 is 4.907306434024% of 1834