What is 43.624 percent of 87 - 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 87 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 87 is 100%, so we can write it down as 87=100%.
4. We know, that x is 43.624% of the output value, so we can write it down as x=43.624%.
5. Now we have two simple equations:
1) 87=100%
2) x=43.624%
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:
87/x=100%/43.624%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 43.624% of 87

87/x=100/43.624
(87/x)*x=(100/43.624)*x       - we multiply both sides of the equation by x
87=2.2923161562443*x       - we divide both sides of the equation by (2.2923161562443) to get x
87/2.2923161562443=x
37.95288=x
x=37.95288

now we have:
43.624% of 87=37.95288