92 is what percent of 898 - 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 898 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 898, so we can write it down as 100%=898.
4. We know, that x% equals 92 of the output value, so we can write it down as x%=92.
5. Now we have two simple equations:
1) 100%=898
2) x%=92
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%=898/92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92 is what percent of 898

100%/x%=898/92
(100/x)*x=(898/92)*x       - we multiply both sides of the equation by x
100=9.7608695652174*x       - we divide both sides of the equation by (9.7608695652174) to get x
100/9.7608695652174=x
10.244988864143=x
x=10.244988864143

now we have:
92 is 10.244988864143% of 898