87 is what percent of 2101 - 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 2101 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 2101, so we can write it down as 100%=2101.
4. We know, that x% equals 87 of the output value, so we can write it down as x%=87.
5. Now we have two simple equations:
1) 100%=2101
2) x%=87
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%=2101/87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87 is what percent of 2101

100%/x%=2101/87
(100/x)*x=(2101/87)*x       - we multiply both sides of the equation by x
100=24.149425287356*x       - we divide both sides of the equation by (24.149425287356) to get x
100/24.149425287356=x
4.1408852927178=x
x=4.1408852927178

now we have:
87 is 4.1408852927178% of 2101