5.63 is what percent of 5.87 - 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 5.87 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 100% equals 5.87, so we can write it down as 100%=5.87.
4. We know, that x% equals 5.63 of the output value, so we can write it down as x%=5.63.
5. Now we have two simple equations:
1) 100%=5.87
2) x%=5.63
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%=5.87/5.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.63 is what percent of 5.87

100%/x%=5.87/5.63
(100/x)*x=(5.87/5.63)*x       - we multiply both sides of the equation by x
100=1.0426287744227*x       - we divide both sides of the equation by (1.0426287744227) to get x
100/1.0426287744227=x
95.911413969336=x
x=95.911413969336

now we have:
5.63 is 95.911413969336% of 5.87