What is 36.86 percent of 1500 - 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 1500 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 1500 is 100%, so we can write it down as 1500=100%.
4. We know, that x is 36.86% of the output value, so we can write it down as x=36.86%.
5. Now we have two simple equations:
1) 1500=100%
2) x=36.86%
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:
1500/x=100%/36.86%
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 36.86% of 1500

1500/x=100/36.86
(1500/x)*x=(100/36.86)*x       - we multiply both sides of the equation by x
1500=2.7129679869778*x       - we divide both sides of the equation by (2.7129679869778) to get x
1500/2.7129679869778=x
552.9=x
x=552.9

now we have:
36.86% of 1500=552.9