88.5 is what percent of 2140 - 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 2140 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 2140, so we can write it down as 100%=2140.
4. We know, that x% equals 88.5 of the output value, so we can write it down as x%=88.5.
5. Now we have two simple equations:
1) 100%=2140
2) x%=88.5
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%=2140/88.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.5 is what percent of 2140

100%/x%=2140/88.5
(100/x)*x=(2140/88.5)*x       - we multiply both sides of the equation by x
100=24.180790960452*x       - we divide both sides of the equation by (24.180790960452) to get x
100/24.180790960452=x
4.1355140186916=x
x=4.1355140186916

now we have:
88.5 is 4.1355140186916% of 2140