40 is what percent of 88800 - 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 88800 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 88800, so we can write it down as 100%=88800.
4. We know, that x% equals 40 of the output value, so we can write it down as x%=40.
5. Now we have two simple equations:
1) 100%=88800
2) x%=40
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%=88800/40
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40 is what percent of 88800

100%/x%=88800/40
(100/x)*x=(88800/40)*x       - we multiply both sides of the equation by x
100=2220*x       - we divide both sides of the equation by (2220) to get x
100/2220=x
0.045045045045045=x
x=0.045045045045045

now we have:
40 is 0.045045045045045% of 88800