5.87 is what percent of 2.25 - 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 2.25 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 2.25, so we can write it down as 100%=2.25.
4. We know, that x% equals 5.87 of the output value, so we can write it down as x%=5.87.
5. Now we have two simple equations:
1) 100%=2.25
2) x%=5.87
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%=2.25/5.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.87 is what percent of 2.25

100%/x%=2.25/5.87
(100/x)*x=(2.25/5.87)*x       - we multiply both sides of the equation by x
100=0.38330494037479*x       - we divide both sides of the equation by (0.38330494037479) to get x
100/0.38330494037479=x
260.88888888889=x
x=260.88888888889

now we have:
5.87 is 260.88888888889% of 2.25