99.88 is what percent of 751.87 - 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 751.87 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 751.87, so we can write it down as 100%=751.87.
4. We know, that x% equals 99.88 of the output value, so we can write it down as x%=99.88.
5. Now we have two simple equations:
1) 100%=751.87
2) x%=99.88
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%=751.87/99.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.88 is what percent of 751.87

100%/x%=751.87/99.88
(100/x)*x=(751.87/99.88)*x       - we multiply both sides of the equation by x
100=7.5277332799359*x       - we divide both sides of the equation by (7.5277332799359) to get x
100/7.5277332799359=x
13.284211366327=x
x=13.284211366327

now we have:
99.88 is 13.284211366327% of 751.87