What is 1087 percent of 242 - 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 242 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 242 is 100%, so we can write it down as 242=100%.
4. We know, that x is 1087% of the output value, so we can write it down as x=1087%.
5. Now we have two simple equations:
1) 242=100%
2) x=1087%
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:
242/x=100%/1087%
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 1087% of 242

242/x=100/1087
(242/x)*x=(100/1087)*x       - we multiply both sides of the equation by x
242=0.091996320147194*x       - we divide both sides of the equation by (0.091996320147194) to get x
242/0.091996320147194=x
2630.54=x
x=2630.54

now we have:
1087% of 242=2630.54